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Finding the Fourth Proportional to 15,843.80, 23,769.35 and 5,315.22

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Solution

The fourth proportional to 15,843.80, 23,769.35 and 5,315.22 is: 7,974.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,843.80 : 23,769.35 = 5,315.22 : x
  2. Step 2: Convert to fraction form
    15,843.80/23,769.35 = 5,315.22/x
  3. Step 3: Cross multiply
    15,843.80x = 23,769.35 × 5,315.22
  4. Step 4: Simplify right side
    15,843.80x = 126,339,317.86
  5. Step 5: Solve for x
    x = 126,339,317.86/15,843.80
  6. Step 6: Final answer
    x = 7,974.05

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1.5x scale

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.