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Finding the Fourth Proportional to 8,520.18, 12,825.12 and 7,772.82

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Solution

The fourth proportional to 8,520.18, 12,825.12 and 7,772.82 is: 11,700.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,520.18 : 12,825.12 = 7,772.82 : x
  2. Step 2: Convert to fraction form
    8,520.18/12,825.12 = 7,772.82/x
  3. Step 3: Cross multiply
    8,520.18x = 12,825.12 × 7,772.82
  4. Step 4: Simplify right side
    8,520.18x = 99,687,349.24
  5. Step 5: Solve for x
    x = 99,687,349.24/8,520.18
  6. Step 6: Final answer
    x = 11,700.15

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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.