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Finding the Fourth Proportional to 8,291.03, 11,432.85 and 6,402.92

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Solution

The fourth proportional to 8,291.03, 11,432.85 and 6,402.92 is: 8,829.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.03 : 11,432.85 = 6,402.92 : x
  2. Step 2: Convert to fraction form
    8,291.03/11,432.85 = 6,402.92/x
  3. Step 3: Cross multiply
    8,291.03x = 11,432.85 × 6,402.92
  4. Step 4: Simplify right side
    8,291.03x = 73,203,542.75
  5. Step 5: Solve for x
    x = 73,203,542.75/8,291.03
  6. Step 6: Final answer
    x = 8,829.25

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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.