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Finding the Fourth Proportional to 38,417.86, 57,632.19 and 12,124.72

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Solution

The fourth proportional to 38,417.86, 57,632.19 and 12,124.72 is: 18,188.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,417.86 : 57,632.19 = 12,124.72 : x
  2. Step 2: Convert to fraction form
    38,417.86/57,632.19 = 12,124.72/x
  3. Step 3: Cross multiply
    38,417.86x = 57,632.19 × 12,124.72
  4. Step 4: Simplify right side
    38,417.86x = 698,774,166.74
  5. Step 5: Solve for x
    x = 698,774,166.74/38,417.86
  6. Step 6: Final answer
    x = 18,188.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.