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Finding the Fourth Proportional to 1,531.74, 2,113.76 and 902.13

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Solution

The fourth proportional to 1,531.74, 2,113.76 and 902.13 is: 1,244.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.74 : 2,113.76 = 902.13 : x
  2. Step 2: Convert to fraction form
    1,531.74/2,113.76 = 902.13/x
  3. Step 3: Cross multiply
    1,531.74x = 2,113.76 × 902.13
  4. Step 4: Simplify right side
    1,531.74x = 1,906,871.23
  5. Step 5: Solve for x
    x = 1,906,871.23/1,531.74
  6. Step 6: Final answer
    x = 1,244.91

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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.