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Finding the Fourth Proportional to 11,405.52, 17,111.52 and 8,042.40

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Solution

The fourth proportional to 11,405.52, 17,111.52 and 8,042.40 is: 12,065.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,405.52 : 17,111.52 = 8,042.40 : x
  2. Step 2: Convert to fraction form
    11,405.52/17,111.52 = 8,042.40/x
  3. Step 3: Cross multiply
    11,405.52x = 17,111.52 × 8,042.40
  4. Step 4: Simplify right side
    11,405.52x = 137,617,688.45
  5. Step 5: Solve for x
    x = 137,617,688.45/11,405.52
  6. Step 6: Final answer
    x = 12,065.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.