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Finding the Fourth Proportional to 8,265.78, 12,398.13 and 2,421.90

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Solution

The fourth proportional to 8,265.78, 12,398.13 and 2,421.90 is: 3,632.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,265.78 : 12,398.13 = 2,421.90 : x
  2. Step 2: Convert to fraction form
    8,265.78/12,398.13 = 2,421.90/x
  3. Step 3: Cross multiply
    8,265.78x = 12,398.13 × 2,421.90
  4. Step 4: Simplify right side
    8,265.78x = 30,027,031.05
  5. Step 5: Solve for x
    x = 30,027,031.05/8,265.78
  6. Step 6: Final answer
    x = 3,632.69

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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.