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Finding the Fourth Proportional to 4,866.88, 7,287.72 and 3,545.20

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Solution

The fourth proportional to 4,866.88, 7,287.72 and 3,545.20 is: 5,308.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.88 : 7,287.72 = 3,545.20 : x
  2. Step 2: Convert to fraction form
    4,866.88/7,287.72 = 3,545.20/x
  3. Step 3: Cross multiply
    4,866.88x = 7,287.72 × 3,545.20
  4. Step 4: Simplify right side
    4,866.88x = 25,836,424.94
  5. Step 5: Solve for x
    x = 25,836,424.94/4,866.88
  6. Step 6: Final answer
    x = 5,308.62

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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.