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Finding the Fourth Proportional to 11,503.82, 15,856.16 and 8,142.32

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Solution

The fourth proportional to 11,503.82, 15,856.16 and 8,142.32 is: 11,222.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,503.82 : 15,856.16 = 8,142.32 : x
  2. Step 2: Convert to fraction form
    11,503.82/15,856.16 = 8,142.32/x
  3. Step 3: Cross multiply
    11,503.82x = 15,856.16 × 8,142.32
  4. Step 4: Simplify right side
    11,503.82x = 129,105,927.62
  5. Step 5: Solve for x
    x = 129,105,927.62/11,503.82
  6. Step 6: Final answer
    x = 11,222.87

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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.