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Finding the Fourth Proportional to 38,052, 57,078.18 and 13,428

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Solution

The fourth proportional to 38,052, 57,078.18 and 13,428 is: 20,142.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,052 : 57,078.18 = 13,428 : x
  2. Step 2: Convert to fraction form
    38,052/57,078.18 = 13,428/x
  3. Step 3: Cross multiply
    38,052x = 57,078.18 × 13,428
  4. Step 4: Simplify right side
    38,052x = 766,445,801.04
  5. Step 5: Solve for x
    x = 766,445,801.04/38,052
  6. Step 6: Final answer
    x = 20,142.06

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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.