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Finding the Fourth Proportional to 14,191.92, 21,288.84 and 6,401.52

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Solution

The fourth proportional to 14,191.92, 21,288.84 and 6,401.52 is: 9,602.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,191.92 : 21,288.84 = 6,401.52 : x
  2. Step 2: Convert to fraction form
    14,191.92/21,288.84 = 6,401.52/x
  3. Step 3: Cross multiply
    14,191.92x = 21,288.84 × 6,401.52
  4. Step 4: Simplify right side
    14,191.92x = 136,280,935.04
  5. Step 5: Solve for x
    x = 136,280,935.04/14,191.92
  6. Step 6: Final answer
    x = 9,602.71

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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.