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Finding the Fourth Proportional to 13,932.18, 20,901.74 and 6,915.50

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Solution

The fourth proportional to 13,932.18, 20,901.74 and 6,915.50 is: 10,374.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,932.18 : 20,901.74 = 6,915.50 : x
  2. Step 2: Convert to fraction form
    13,932.18/20,901.74 = 6,915.50/x
  3. Step 3: Cross multiply
    13,932.18x = 20,901.74 × 6,915.50
  4. Step 4: Simplify right side
    13,932.18x = 144,545,843.88
  5. Step 5: Solve for x
    x = 144,545,843.88/13,932.18
  6. Step 6: Final answer
    x = 10,374.96

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1.5x scale

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.