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Finding the Fourth Proportional to 7,641.64, 10,545.50 and 4,987.48

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Solution

The fourth proportional to 7,641.64, 10,545.50 and 4,987.48 is: 6,882.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.64 : 10,545.50 = 4,987.48 : x
  2. Step 2: Convert to fraction form
    7,641.64/10,545.50 = 4,987.48/x
  3. Step 3: Cross multiply
    7,641.64x = 10,545.50 × 4,987.48
  4. Step 4: Simplify right side
    7,641.64x = 52,595,470.34
  5. Step 5: Solve for x
    x = 52,595,470.34/7,641.64
  6. Step 6: Final answer
    x = 6,882.75

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1.5x scale

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.