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Finding the Fourth Proportional to 1,534.96, 2,118.34 and 905.86

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Solution

The fourth proportional to 1,534.96, 2,118.34 and 905.86 is: 1,250.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.96 : 2,118.34 = 905.86 : x
  2. Step 2: Convert to fraction form
    1,534.96/2,118.34 = 905.86/x
  3. Step 3: Cross multiply
    1,534.96x = 2,118.34 × 905.86
  4. Step 4: Simplify right side
    1,534.96x = 1,918,919.47
  5. Step 5: Solve for x
    x = 1,918,919.47/1,534.96
  6. Step 6: Final answer
    x = 1,250.14

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Double scale
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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.