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Finding the Fourth Proportional to 27,229, 40,830.92 and 8,503.42

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Solution

The fourth proportional to 27,229, 40,830.92 and 8,503.42 is: 12,751.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,229 : 40,830.92 = 8,503.42 : x
  2. Step 2: Convert to fraction form
    27,229/40,830.92 = 8,503.42/x
  3. Step 3: Cross multiply
    27,229x = 40,830.92 × 8,503.42
  4. Step 4: Simplify right side
    27,229x = 347,202,461.75
  5. Step 5: Solve for x
    x = 347,202,461.75/27,229
  6. Step 6: Final answer
    x = 12,751.20

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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.