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Finding the Fourth Proportional to 8,983.76, 12,399.12 and 5,206.28

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Solution

The fourth proportional to 8,983.76, 12,399.12 and 5,206.28 is: 7,185.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,983.76 : 12,399.12 = 5,206.28 : x
  2. Step 2: Convert to fraction form
    8,983.76/12,399.12 = 5,206.28/x
  3. Step 3: Cross multiply
    8,983.76x = 12,399.12 × 5,206.28
  4. Step 4: Simplify right side
    8,983.76x = 64,553,290.47
  5. Step 5: Solve for x
    x = 64,553,290.47/8,983.76
  6. Step 6: Final answer
    x = 7,185.55

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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.