Home / 10,983.52-16,470-5,135.20

Finding the Fourth Proportional to 10,983.52, 16,470 and 5,135.20

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Solution

The fourth proportional to 10,983.52, 16,470 and 5,135.20 is: 7,700.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,983.52 : 16,470 = 5,135.20 : x
  2. Step 2: Convert to fraction form
    10,983.52/16,470 = 5,135.20/x
  3. Step 3: Cross multiply
    10,983.52x = 16,470 × 5,135.20
  4. Step 4: Simplify right side
    10,983.52x = 84,576,744
  5. Step 5: Solve for x
    x = 84,576,744/10,983.52
  6. Step 6: Final answer
    x = 7,700.33

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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.