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Finding the Fourth Proportional to 38,643.98, 57,970.92 and 11,991.74

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Solution

The fourth proportional to 38,643.98, 57,970.92 and 11,991.74 is: 17,989.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,643.98 : 57,970.92 = 11,991.74 : x
  2. Step 2: Convert to fraction form
    38,643.98/57,970.92 = 11,991.74/x
  3. Step 3: Cross multiply
    38,643.98x = 57,970.92 × 11,991.74
  4. Step 4: Simplify right side
    38,643.98x = 695,172,200.20
  5. Step 5: Solve for x
    x = 695,172,200.20/38,643.98
  6. Step 6: Final answer
    x = 17,989.15

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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.