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Finding the Fourth Proportional to 27,290, 40,941.72 and 8,822

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Solution

The fourth proportional to 27,290, 40,941.72 and 8,822 is: 13,235.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,290 : 40,941.72 = 8,822 : x
  2. Step 2: Convert to fraction form
    27,290/40,941.72 = 8,822/x
  3. Step 3: Cross multiply
    27,290x = 40,941.72 × 8,822
  4. Step 4: Simplify right side
    27,290x = 361,187,853.84
  5. Step 5: Solve for x
    x = 361,187,853.84/27,290
  6. Step 6: Final answer
    x = 13,235.17

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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.