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Finding the Fourth Proportional to 15,853.20, 21,876.48 and 8,779.20

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Solution

The fourth proportional to 15,853.20, 21,876.48 and 8,779.20 is: 12,114.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,853.20 : 21,876.48 = 8,779.20 : x
  2. Step 2: Convert to fraction form
    15,853.20/21,876.48 = 8,779.20/x
  3. Step 3: Cross multiply
    15,853.20x = 21,876.48 × 8,779.20
  4. Step 4: Simplify right side
    15,853.20x = 192,057,993.22
  5. Step 5: Solve for x
    x = 192,057,993.22/15,853.20
  6. Step 6: Final answer
    x = 12,114.78

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1.5x scale

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.