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Finding the Fourth Proportional to 38,652.27, 57,978.81 and 12,356.43

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Solution

The fourth proportional to 38,652.27, 57,978.81 and 12,356.43 is: 18,534.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,652.27 : 57,978.81 = 12,356.43 : x
  2. Step 2: Convert to fraction form
    38,652.27/57,978.81 = 12,356.43/x
  3. Step 3: Cross multiply
    38,652.27x = 57,978.81 × 12,356.43
  4. Step 4: Simplify right side
    38,652.27x = 716,411,107.25
  5. Step 5: Solve for x
    x = 716,411,107.25/38,652.27
  6. Step 6: Final answer
    x = 18,534.77

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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.