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Finding the Fourth Proportional to 7,766.76, 10,724.22 and 6,269.88

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Solution

The fourth proportional to 7,766.76, 10,724.22 and 6,269.88 is: 8,657.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.76 : 10,724.22 = 6,269.88 : x
  2. Step 2: Convert to fraction form
    7,766.76/10,724.22 = 6,269.88/x
  3. Step 3: Cross multiply
    7,766.76x = 10,724.22 × 6,269.88
  4. Step 4: Simplify right side
    7,766.76x = 67,239,572.49
  5. Step 5: Solve for x
    x = 67,239,572.49/7,766.76
  6. Step 6: Final answer
    x = 8,657.35

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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.