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Finding the Fourth Proportional to 8,449.86, 12,661.11 and 5,152.98

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Solution

The fourth proportional to 8,449.86, 12,661.11 and 5,152.98 is: 7,721.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.86 : 12,661.11 = 5,152.98 : x
  2. Step 2: Convert to fraction form
    8,449.86/12,661.11 = 5,152.98/x
  3. Step 3: Cross multiply
    8,449.86x = 12,661.11 × 5,152.98
  4. Step 4: Simplify right side
    8,449.86x = 65,242,446.61
  5. Step 5: Solve for x
    x = 65,242,446.61/8,449.86
  6. Step 6: Final answer
    x = 7,721.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.