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Finding the Fourth Proportional to 6,891.28, 9,505.70 and 6,009.20

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Solution

The fourth proportional to 6,891.28, 9,505.70 and 6,009.20 is: 8,288.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.28 : 9,505.70 = 6,009.20 : x
  2. Step 2: Convert to fraction form
    6,891.28/9,505.70 = 6,009.20/x
  3. Step 3: Cross multiply
    6,891.28x = 9,505.70 × 6,009.20
  4. Step 4: Simplify right side
    6,891.28x = 57,121,652.44
  5. Step 5: Solve for x
    x = 57,121,652.44/6,891.28
  6. Step 6: Final answer
    x = 8,288.98

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1.5x scale

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.