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Finding the Fourth Proportional to 11,398.84, 15,731.16 and 8,042.80

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Solution

The fourth proportional to 11,398.84, 15,731.16 and 8,042.80 is: 11,099.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,398.84 : 15,731.16 = 8,042.80 : x
  2. Step 2: Convert to fraction form
    11,398.84/15,731.16 = 8,042.80/x
  3. Step 3: Cross multiply
    11,398.84x = 15,731.16 × 8,042.80
  4. Step 4: Simplify right side
    11,398.84x = 126,522,573.65
  5. Step 5: Solve for x
    x = 126,522,573.65/11,398.84
  6. Step 6: Final answer
    x = 11,099.60

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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.