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Finding the Fourth Proportional to 10,878, 15,010.92 and 6,400.88

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Solution

The fourth proportional to 10,878, 15,010.92 and 6,400.88 is: 8,832.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,878 : 15,010.92 = 6,400.88 : x
  2. Step 2: Convert to fraction form
    10,878/15,010.92 = 6,400.88/x
  3. Step 3: Cross multiply
    10,878x = 15,010.92 × 6,400.88
  4. Step 4: Simplify right side
    10,878x = 96,083,097.61
  5. Step 5: Solve for x
    x = 96,083,097.61/10,878
  6. Step 6: Final answer
    x = 8,832.79

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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.