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Finding the Fourth Proportional to 9,981.38, 14,972.07 and 4,138.17

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Solution

The fourth proportional to 9,981.38, 14,972.07 and 4,138.17 is: 6,207.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.38 : 14,972.07 = 4,138.17 : x
  2. Step 2: Convert to fraction form
    9,981.38/14,972.07 = 4,138.17/x
  3. Step 3: Cross multiply
    9,981.38x = 14,972.07 × 4,138.17
  4. Step 4: Simplify right side
    9,981.38x = 61,956,970.91
  5. Step 5: Solve for x
    x = 61,956,970.91/9,981.38
  6. Step 6: Final answer
    x = 6,207.26

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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.