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Finding the Fourth Proportional to 27,290, 40,935 and 10,885.52

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Solution

The fourth proportional to 27,290, 40,935 and 10,885.52 is: 16,328.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,290 : 40,935 = 10,885.52 : x
  2. Step 2: Convert to fraction form
    27,290/40,935 = 10,885.52/x
  3. Step 3: Cross multiply
    27,290x = 40,935 × 10,885.52
  4. Step 4: Simplify right side
    27,290x = 445,598,761.20
  5. Step 5: Solve for x
    x = 445,598,761.20/27,290
  6. Step 6: Final answer
    x = 16,328.28

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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.