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Finding the Fourth Proportional to 9,711.20, 14,566.80 and 8,616.80

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Solution

The fourth proportional to 9,711.20, 14,566.80 and 8,616.80 is: 12,925.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.20 : 14,566.80 = 8,616.80 : x
  2. Step 2: Convert to fraction form
    9,711.20/14,566.80 = 8,616.80/x
  3. Step 3: Cross multiply
    9,711.20x = 14,566.80 × 8,616.80
  4. Step 4: Simplify right side
    9,711.20x = 125,519,202.24
  5. Step 5: Solve for x
    x = 125,519,202.24/9,711.20
  6. Step 6: Final answer
    x = 12,925.20

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1.5x scale

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.