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Finding the Fourth Proportional to 8,864, 12,234.56 and 5,140.16

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Solution

The fourth proportional to 8,864, 12,234.56 and 5,140.16 is: 7,094.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,864 : 12,234.56 = 5,140.16 : x
  2. Step 2: Convert to fraction form
    8,864/12,234.56 = 5,140.16/x
  3. Step 3: Cross multiply
    8,864x = 12,234.56 × 5,140.16
  4. Step 4: Simplify right side
    8,864x = 62,887,595.93
  5. Step 5: Solve for x
    x = 62,887,595.93/8,864
  6. Step 6: Final answer
    x = 7,094.72

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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.