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Finding the Fourth Proportional to 8,732.34, 12,054.42 and 6,078.78

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Solution

The fourth proportional to 8,732.34, 12,054.42 and 6,078.78 is: 8,391.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,732.34 : 12,054.42 = 6,078.78 : x
  2. Step 2: Convert to fraction form
    8,732.34/12,054.42 = 6,078.78/x
  3. Step 3: Cross multiply
    8,732.34x = 12,054.42 × 6,078.78
  4. Step 4: Simplify right side
    8,732.34x = 73,276,167.21
  5. Step 5: Solve for x
    x = 73,276,167.21/8,732.34
  6. Step 6: Final answer
    x = 8,391.36

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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.