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Finding the Fourth Proportional to 11,332.64, 15,641.28 and 7,241.82

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Solution

The fourth proportional to 11,332.64, 15,641.28 and 7,241.82 is: 9,995.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,332.64 : 15,641.28 = 7,241.82 : x
  2. Step 2: Convert to fraction form
    11,332.64/15,641.28 = 7,241.82/x
  3. Step 3: Cross multiply
    11,332.64x = 15,641.28 × 7,241.82
  4. Step 4: Simplify right side
    11,332.64x = 113,271,334.33
  5. Step 5: Solve for x
    x = 113,271,334.33/11,332.64
  6. Step 6: Final answer
    x = 9,995.14

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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.