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Finding the Fourth Proportional to 42,767.56, 64,154.58 and 11,602

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Solution

The fourth proportional to 42,767.56, 64,154.58 and 11,602 is: 17,403.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,767.56 : 64,154.58 = 11,602 : x
  2. Step 2: Convert to fraction form
    42,767.56/64,154.58 = 11,602/x
  3. Step 3: Cross multiply
    42,767.56x = 64,154.58 × 11,602
  4. Step 4: Simplify right side
    42,767.56x = 744,321,437.16
  5. Step 5: Solve for x
    x = 744,321,437.16/42,767.56
  6. Step 6: Final answer
    x = 17,403.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.