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Finding the Fourth Proportional to 10,989, 15,185.52 and 8,331.48

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Solution

The fourth proportional to 10,989, 15,185.52 and 8,331.48 is: 11,513.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,989 : 15,185.52 = 8,331.48 : x
  2. Step 2: Convert to fraction form
    10,989/15,185.52 = 8,331.48/x
  3. Step 3: Cross multiply
    10,989x = 15,185.52 × 8,331.48
  4. Step 4: Simplify right side
    10,989x = 126,517,856.17
  5. Step 5: Solve for x
    x = 126,517,856.17/10,989
  6. Step 6: Final answer
    x = 11,513.14

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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.