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Finding the Fourth Proportional to 12,810.80, 17,676.05 and 7,432.40

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Solution

The fourth proportional to 12,810.80, 17,676.05 and 7,432.40 is: 10,255.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,810.80 : 17,676.05 = 7,432.40 : x
  2. Step 2: Convert to fraction form
    12,810.80/17,676.05 = 7,432.40/x
  3. Step 3: Cross multiply
    12,810.80x = 17,676.05 × 7,432.40
  4. Step 4: Simplify right side
    12,810.80x = 131,375,481.05
  5. Step 5: Solve for x
    x = 131,375,481.05/12,810.80
  6. Step 6: Final answer
    x = 10,255.05

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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.