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Finding the Fourth Proportional to 9,314.70, 13,972.02 and 2,740.87

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Solution

The fourth proportional to 9,314.70, 13,972.02 and 2,740.87 is: 4,111.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.70 : 13,972.02 = 2,740.87 : x
  2. Step 2: Convert to fraction form
    9,314.70/13,972.02 = 2,740.87/x
  3. Step 3: Cross multiply
    9,314.70x = 13,972.02 × 2,740.87
  4. Step 4: Simplify right side
    9,314.70x = 38,295,490.46
  5. Step 5: Solve for x
    x = 38,295,490.46/9,314.70
  6. Step 6: Final answer
    x = 4,111.30

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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.