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Finding the Fourth Proportional to 10,986.86, 16,480.70 and 5,648.62

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Solution

The fourth proportional to 10,986.86, 16,480.70 and 5,648.62 is: 8,473.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,986.86 : 16,480.70 = 5,648.62 : x
  2. Step 2: Convert to fraction form
    10,986.86/16,480.70 = 5,648.62/x
  3. Step 3: Cross multiply
    10,986.86x = 16,480.70 × 5,648.62
  4. Step 4: Simplify right side
    10,986.86x = 93,093,164.24
  5. Step 5: Solve for x
    x = 93,093,164.24/10,986.86
  6. Step 6: Final answer
    x = 8,473.13

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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.