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Finding the Fourth Proportional to 7,761.60, 10,706.40 and 5,520

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Solution

The fourth proportional to 7,761.60, 10,706.40 and 5,520 is: 7,614.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.60 : 10,706.40 = 5,520 : x
  2. Step 2: Convert to fraction form
    7,761.60/10,706.40 = 5,520/x
  3. Step 3: Cross multiply
    7,761.60x = 10,706.40 × 5,520
  4. Step 4: Simplify right side
    7,761.60x = 59,099,328
  5. Step 5: Solve for x
    x = 59,099,328/7,761.60
  6. Step 6: Final answer
    x = 7,614.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.