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Finding the Fourth Proportional to 7,754.61, 11,631.89 and 5,419.18

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Solution

The fourth proportional to 7,754.61, 11,631.89 and 5,419.18 is: 8,128.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.61 : 11,631.89 = 5,419.18 : x
  2. Step 2: Convert to fraction form
    7,754.61/11,631.89 = 5,419.18/x
  3. Step 3: Cross multiply
    7,754.61x = 11,631.89 × 5,419.18
  4. Step 4: Simplify right side
    7,754.61x = 63,035,293.40
  5. Step 5: Solve for x
    x = 63,035,293.40/7,754.61
  6. Step 6: Final answer
    x = 8,128.75

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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.