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Finding the Fourth Proportional to 20,428, 30,642 and 5,637.04

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Solution

The fourth proportional to 20,428, 30,642 and 5,637.04 is: 8,455.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,428 : 30,642 = 5,637.04 : x
  2. Step 2: Convert to fraction form
    20,428/30,642 = 5,637.04/x
  3. Step 3: Cross multiply
    20,428x = 30,642 × 5,637.04
  4. Step 4: Simplify right side
    20,428x = 172,730,179.68
  5. Step 5: Solve for x
    x = 172,730,179.68/20,428
  6. Step 6: Final answer
    x = 8,455.56

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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.