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Finding the Fourth Proportional to 8,291.51, 12,435.13 and 2,446.75

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Solution

The fourth proportional to 8,291.51, 12,435.13 and 2,446.75 is: 3,669.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.51 : 12,435.13 = 2,446.75 : x
  2. Step 2: Convert to fraction form
    8,291.51/12,435.13 = 2,446.75/x
  3. Step 3: Cross multiply
    8,291.51x = 12,435.13 × 2,446.75
  4. Step 4: Simplify right side
    8,291.51x = 30,425,654.33
  5. Step 5: Solve for x
    x = 30,425,654.33/8,291.51
  6. Step 6: Final answer
    x = 3,669.49

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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.