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Finding the Fourth Proportional to 10,983.20, 16,480.20 and 5,138.78

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Solution

The fourth proportional to 10,983.20, 16,480.20 and 5,138.78 is: 7,710.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,983.20 : 16,480.20 = 5,138.78 : x
  2. Step 2: Convert to fraction form
    10,983.20/16,480.20 = 5,138.78/x
  3. Step 3: Cross multiply
    10,983.20x = 16,480.20 × 5,138.78
  4. Step 4: Simplify right side
    10,983.20x = 84,688,122.16
  5. Step 5: Solve for x
    x = 84,688,122.16/10,983.20
  6. Step 6: Final answer
    x = 7,710.70

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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.