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Finding the Fourth Proportional to 7,034.32, 9,728.31 and 6,287.10

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Solution

The fourth proportional to 7,034.32, 9,728.31 and 6,287.10 is: 8,694.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.32 : 9,728.31 = 6,287.10 : x
  2. Step 2: Convert to fraction form
    7,034.32/9,728.31 = 6,287.10/x
  3. Step 3: Cross multiply
    7,034.32x = 9,728.31 × 6,287.10
  4. Step 4: Simplify right side
    7,034.32x = 61,162,857.80
  5. Step 5: Solve for x
    x = 61,162,857.80/7,034.32
  6. Step 6: Final answer
    x = 8,694.92

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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.