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Finding the Fourth Proportional to 8,980.80, 12,398.82 and 7,983.24

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Solution

The fourth proportional to 8,980.80, 12,398.82 and 7,983.24 is: 11,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,980.80 : 12,398.82 = 7,983.24 : x
  2. Step 2: Convert to fraction form
    8,980.80/12,398.82 = 7,983.24/x
  3. Step 3: Cross multiply
    8,980.80x = 12,398.82 × 7,983.24
  4. Step 4: Simplify right side
    8,980.80x = 98,982,755.78
  5. Step 5: Solve for x
    x = 98,982,755.78/8,980.80
  6. Step 6: Final answer
    x = 11,021.60

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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.