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Finding the Fourth Proportional to 27,642, 38,146.52 and 15,066.76

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Solution

The fourth proportional to 27,642, 38,146.52 and 15,066.76 is: 20,792.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,642 : 38,146.52 = 15,066.76 : x
  2. Step 2: Convert to fraction form
    27,642/38,146.52 = 15,066.76/x
  3. Step 3: Cross multiply
    27,642x = 38,146.52 × 15,066.76
  4. Step 4: Simplify right side
    27,642x = 574,744,461.68
  5. Step 5: Solve for x
    x = 574,744,461.68/27,642
  6. Step 6: Final answer
    x = 20,792.43

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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.