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Finding the Fourth Proportional to 11,549.70, 15,940.38 and 7,582.32

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Solution

The fourth proportional to 11,549.70, 15,940.38 and 7,582.32 is: 10,464.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.70 : 15,940.38 = 7,582.32 : x
  2. Step 2: Convert to fraction form
    11,549.70/15,940.38 = 7,582.32/x
  3. Step 3: Cross multiply
    11,549.70x = 15,940.38 × 7,582.32
  4. Step 4: Simplify right side
    11,549.70x = 120,865,062.08
  5. Step 5: Solve for x
    x = 120,865,062.08/11,549.70
  6. Step 6: Final answer
    x = 10,464.78

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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.