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Finding the Fourth Proportional to 5,280.69, 7,913.63 and 4,105.31

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Solution

The fourth proportional to 5,280.69, 7,913.63 and 4,105.31 is: 6,152.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280.69 : 7,913.63 = 4,105.31 : x
  2. Step 2: Convert to fraction form
    5,280.69/7,913.63 = 4,105.31/x
  3. Step 3: Cross multiply
    5,280.69x = 7,913.63 × 4,105.31
  4. Step 4: Simplify right side
    5,280.69x = 32,487,934.42
  5. Step 5: Solve for x
    x = 32,487,934.42/5,280.69
  6. Step 6: Final answer
    x = 6,152.21

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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.