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Finding the Fourth Proportional to 11,456.50, 15,809.97 and 6,488.50

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Solution

The fourth proportional to 11,456.50, 15,809.97 and 6,488.50 is: 8,954.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,456.50 : 15,809.97 = 6,488.50 : x
  2. Step 2: Convert to fraction form
    11,456.50/15,809.97 = 6,488.50/x
  3. Step 3: Cross multiply
    11,456.50x = 15,809.97 × 6,488.50
  4. Step 4: Simplify right side
    11,456.50x = 102,582,990.35
  5. Step 5: Solve for x
    x = 102,582,990.35/11,456.50
  6. Step 6: Final answer
    x = 8,954.13

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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.