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Finding the Fourth Proportional to 7,711.20, 10,641.78 and 4,566.78

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Solution

The fourth proportional to 7,711.20, 10,641.78 and 4,566.78 is: 6,302.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.20 : 10,641.78 = 4,566.78 : x
  2. Step 2: Convert to fraction form
    7,711.20/10,641.78 = 4,566.78/x
  3. Step 3: Cross multiply
    7,711.20x = 10,641.78 × 4,566.78
  4. Step 4: Simplify right side
    7,711.20x = 48,598,668.07
  5. Step 5: Solve for x
    x = 48,598,668.07/7,711.20
  6. Step 6: Final answer
    x = 6,302.35

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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.