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Finding the Fourth Proportional to 11,382.32, 15,700.20 and 8,030

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Solution

The fourth proportional to 11,382.32, 15,700.20 and 8,030 is: 11,076.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382.32 : 15,700.20 = 8,030 : x
  2. Step 2: Convert to fraction form
    11,382.32/15,700.20 = 8,030/x
  3. Step 3: Cross multiply
    11,382.32x = 15,700.20 × 8,030
  4. Step 4: Simplify right side
    11,382.32x = 126,072,606
  5. Step 5: Solve for x
    x = 126,072,606/11,382.32
  6. Step 6: Final answer
    x = 11,076.18

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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.