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Finding the Fourth Proportional to 15,854.92, 21,878 and 8,779.56

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Solution

The fourth proportional to 15,854.92, 21,878 and 8,779.56 is: 12,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,854.92 : 21,878 = 8,779.56 : x
  2. Step 2: Convert to fraction form
    15,854.92/21,878 = 8,779.56/x
  3. Step 3: Cross multiply
    15,854.92x = 21,878 × 8,779.56
  4. Step 4: Simplify right side
    15,854.92x = 192,079,213.68
  5. Step 5: Solve for x
    x = 192,079,213.68/15,854.92
  6. Step 6: Final answer
    x = 12,114.80

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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.