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Finding the Fourth Proportional to 9,728.80, 14,680.12 and 8,519.20

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Solution

The fourth proportional to 9,728.80, 14,680.12 and 8,519.20 is: 12,854.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.80 : 14,680.12 = 8,519.20 : x
  2. Step 2: Convert to fraction form
    9,728.80/14,680.12 = 8,519.20/x
  3. Step 3: Cross multiply
    9,728.80x = 14,680.12 × 8,519.20
  4. Step 4: Simplify right side
    9,728.80x = 125,062,878.30
  5. Step 5: Solve for x
    x = 125,062,878.30/9,728.80
  6. Step 6: Final answer
    x = 12,854.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.