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Finding the Fourth Proportional to 8,574.73, 12,785.04 and 7,842.49

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Solution

The fourth proportional to 8,574.73, 12,785.04 and 7,842.49 is: 11,693.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.73 : 12,785.04 = 7,842.49 : x
  2. Step 2: Convert to fraction form
    8,574.73/12,785.04 = 7,842.49/x
  3. Step 3: Cross multiply
    8,574.73x = 12,785.04 × 7,842.49
  4. Step 4: Simplify right side
    8,574.73x = 100,266,516.39
  5. Step 5: Solve for x
    x = 100,266,516.39/8,574.73
  6. Step 6: Final answer
    x = 11,693.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.