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Finding the Fourth Proportional to 6,901.20, 10,330.20 and 6,685.20

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Solution

The fourth proportional to 6,901.20, 10,330.20 and 6,685.20 is: 10,006.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.20 : 10,330.20 = 6,685.20 : x
  2. Step 2: Convert to fraction form
    6,901.20/10,330.20 = 6,685.20/x
  3. Step 3: Cross multiply
    6,901.20x = 10,330.20 × 6,685.20
  4. Step 4: Simplify right side
    6,901.20x = 69,059,453.04
  5. Step 5: Solve for x
    x = 69,059,453.04/6,901.20
  6. Step 6: Final answer
    x = 10,006.88

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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.