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Finding the Fourth Proportional to 38,394, 57,591.61 and 10,692

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Solution

The fourth proportional to 38,394, 57,591.61 and 10,692 is: 16,038.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,394 : 57,591.61 = 10,692 : x
  2. Step 2: Convert to fraction form
    38,394/57,591.61 = 10,692/x
  3. Step 3: Cross multiply
    38,394x = 57,591.61 × 10,692
  4. Step 4: Simplify right side
    38,394x = 615,769,467.39
  5. Step 5: Solve for x
    x = 615,769,467.39/38,394
  6. Step 6: Final answer
    x = 16,038.17

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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.