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Finding the Fourth Proportional to 8,472.80, 11,696.60 and 5,641.85

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Solution

The fourth proportional to 8,472.80, 11,696.60 and 5,641.85 is: 7,788.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.80 : 11,696.60 = 5,641.85 : x
  2. Step 2: Convert to fraction form
    8,472.80/11,696.60 = 5,641.85/x
  3. Step 3: Cross multiply
    8,472.80x = 11,696.60 × 5,641.85
  4. Step 4: Simplify right side
    8,472.80x = 65,990,462.71
  5. Step 5: Solve for x
    x = 65,990,462.71/8,472.80
  6. Step 6: Final answer
    x = 7,788.51

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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.