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Finding the Fourth Proportional to 8,981.80, 12,400.20 and 7,984.24

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Solution

The fourth proportional to 8,981.80, 12,400.20 and 7,984.24 is: 11,022.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,981.80 : 12,400.20 = 7,984.24 : x
  2. Step 2: Convert to fraction form
    8,981.80/12,400.20 = 7,984.24/x
  3. Step 3: Cross multiply
    8,981.80x = 12,400.20 × 7,984.24
  4. Step 4: Simplify right side
    8,981.80x = 99,006,172.85
  5. Step 5: Solve for x
    x = 99,006,172.85/8,981.80
  6. Step 6: Final answer
    x = 11,022.98

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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.