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Finding the Fourth Proportional to 11,417.92, 15,762 and 7,231.84

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Solution

The fourth proportional to 11,417.92, 15,762 and 7,231.84 is: 9,983.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.92 : 15,762 = 7,231.84 : x
  2. Step 2: Convert to fraction form
    11,417.92/15,762 = 7,231.84/x
  3. Step 3: Cross multiply
    11,417.92x = 15,762 × 7,231.84
  4. Step 4: Simplify right side
    11,417.92x = 113,988,262.08
  5. Step 5: Solve for x
    x = 113,988,262.08/11,417.92
  6. Step 6: Final answer
    x = 9,983.28

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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.