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Finding the Fourth Proportional to 10,888.12, 15,025.76 and 8,157.82

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Solution

The fourth proportional to 10,888.12, 15,025.76 and 8,157.82 is: 11,257.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,888.12 : 15,025.76 = 8,157.82 : x
  2. Step 2: Convert to fraction form
    10,888.12/15,025.76 = 8,157.82/x
  3. Step 3: Cross multiply
    10,888.12x = 15,025.76 × 8,157.82
  4. Step 4: Simplify right side
    10,888.12x = 122,577,445.44
  5. Step 5: Solve for x
    x = 122,577,445.44/10,888.12
  6. Step 6: Final answer
    x = 11,257.91

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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.