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Finding the Fourth Proportional to 9,234.78, 12,732.86 and 6,404.57

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Solution

The fourth proportional to 9,234.78, 12,732.86 and 6,404.57 is: 8,830.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.78 : 12,732.86 = 6,404.57 : x
  2. Step 2: Convert to fraction form
    9,234.78/12,732.86 = 6,404.57/x
  3. Step 3: Cross multiply
    9,234.78x = 12,732.86 × 6,404.57
  4. Step 4: Simplify right side
    9,234.78x = 81,548,541.01
  5. Step 5: Solve for x
    x = 81,548,541.01/9,234.78
  6. Step 6: Final answer
    x = 8,830.59

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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.