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Finding the Fourth Proportional to 27,282, 40,929.35 and 8,561.01

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Solution

The fourth proportional to 27,282, 40,929.35 and 8,561.01 is: 12,843.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,282 : 40,929.35 = 8,561.01 : x
  2. Step 2: Convert to fraction form
    27,282/40,929.35 = 8,561.01/x
  3. Step 3: Cross multiply
    27,282x = 40,929.35 × 8,561.01
  4. Step 4: Simplify right side
    27,282x = 350,396,531.84
  5. Step 5: Solve for x
    x = 350,396,531.84/27,282
  6. Step 6: Final answer
    x = 12,843.51

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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.