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Finding the Fourth Proportional to 11,340, 17,001.36 and 7,643.16

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Solution

The fourth proportional to 11,340, 17,001.36 and 7,643.16 is: 11,458.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,340 : 17,001.36 = 7,643.16 : x
  2. Step 2: Convert to fraction form
    11,340/17,001.36 = 7,643.16/x
  3. Step 3: Cross multiply
    11,340x = 17,001.36 × 7,643.16
  4. Step 4: Simplify right side
    11,340x = 129,944,114.70
  5. Step 5: Solve for x
    x = 129,944,114.70/11,340
  6. Step 6: Final answer
    x = 11,458.92

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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.