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Finding the Fourth Proportional to 38,392, 57,591.30 and 10,690

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Solution

The fourth proportional to 38,392, 57,591.30 and 10,690 is: 16,035.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,392 : 57,591.30 = 10,690 : x
  2. Step 2: Convert to fraction form
    38,392/57,591.30 = 10,690/x
  3. Step 3: Cross multiply
    38,392x = 57,591.30 × 10,690
  4. Step 4: Simplify right side
    38,392x = 615,650,997
  5. Step 5: Solve for x
    x = 615,650,997/38,392
  6. Step 6: Final answer
    x = 16,035.92

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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.