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Finding the Fourth Proportional to 10,648.65, 15,960.86 and 6,479.48

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Solution

The fourth proportional to 10,648.65, 15,960.86 and 6,479.48 is: 9,711.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648.65 : 15,960.86 = 6,479.48 : x
  2. Step 2: Convert to fraction form
    10,648.65/15,960.86 = 6,479.48/x
  3. Step 3: Cross multiply
    10,648.65x = 15,960.86 × 6,479.48
  4. Step 4: Simplify right side
    10,648.65x = 103,418,051.62
  5. Step 5: Solve for x
    x = 103,418,051.62/10,648.65
  6. Step 6: Final answer
    x = 9,711.85

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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.