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Finding the Fourth Proportional to 8,641.62, 12,959.19 and 6,814.26

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Solution

The fourth proportional to 8,641.62, 12,959.19 and 6,814.26 is: 10,218.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,641.62 : 12,959.19 = 6,814.26 : x
  2. Step 2: Convert to fraction form
    8,641.62/12,959.19 = 6,814.26/x
  3. Step 3: Cross multiply
    8,641.62x = 12,959.19 × 6,814.26
  4. Step 4: Simplify right side
    8,641.62x = 88,307,290.05
  5. Step 5: Solve for x
    x = 88,307,290.05/8,641.62
  6. Step 6: Final answer
    x = 10,218.84

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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.