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Finding the Fourth Proportional to 13,864, 19,132.46 and 7,576.40

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Solution

The fourth proportional to 13,864, 19,132.46 and 7,576.40 is: 10,455.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,864 : 19,132.46 = 7,576.40 : x
  2. Step 2: Convert to fraction form
    13,864/19,132.46 = 7,576.40/x
  3. Step 3: Cross multiply
    13,864x = 19,132.46 × 7,576.40
  4. Step 4: Simplify right side
    13,864x = 144,955,169.94
  5. Step 5: Solve for x
    x = 144,955,169.94/13,864
  6. Step 6: Final answer
    x = 10,455.51

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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.