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Finding the Fourth Proportional to 8,722.49, 12,041.26 and 8,162.98

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Solution

The fourth proportional to 8,722.49, 12,041.26 and 8,162.98 is: 11,268.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,722.49 : 12,041.26 = 8,162.98 : x
  2. Step 2: Convert to fraction form
    8,722.49/12,041.26 = 8,162.98/x
  3. Step 3: Cross multiply
    8,722.49x = 12,041.26 × 8,162.98
  4. Step 4: Simplify right side
    8,722.49x = 98,292,514.04
  5. Step 5: Solve for x
    x = 98,292,514.04/8,722.49
  6. Step 6: Final answer
    x = 11,268.87

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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.