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Finding the Fourth Proportional to 1,531.22, 2,113.56 and 901.69

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Solution

The fourth proportional to 1,531.22, 2,113.56 and 901.69 is: 1,244.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.22 : 2,113.56 = 901.69 : x
  2. Step 2: Convert to fraction form
    1,531.22/2,113.56 = 901.69/x
  3. Step 3: Cross multiply
    1,531.22x = 2,113.56 × 901.69
  4. Step 4: Simplify right side
    1,531.22x = 1,905,775.92
  5. Step 5: Solve for x
    x = 1,905,775.92/1,531.22
  6. Step 6: Final answer
    x = 1,244.61

Related Problems

Find fourth proportional to 765.61, 1,056.78 and 450.85
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.