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Finding the Fourth Proportional to 10,508.80, 15,750.40 and 4,659.20

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Solution

The fourth proportional to 10,508.80, 15,750.40 and 4,659.20 is: 6,983.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.80 : 15,750.40 = 4,659.20 : x
  2. Step 2: Convert to fraction form
    10,508.80/15,750.40 = 4,659.20/x
  3. Step 3: Cross multiply
    10,508.80x = 15,750.40 × 4,659.20
  4. Step 4: Simplify right side
    10,508.80x = 73,384,263.68
  5. Step 5: Solve for x
    x = 73,384,263.68/10,508.80
  6. Step 6: Final answer
    x = 6,983.12

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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.