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Finding the Fourth Proportional to 8,419.80, 12,625.22 and 2,574.84

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Solution

The fourth proportional to 8,419.80, 12,625.22 and 2,574.84 is: 3,860.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.80 : 12,625.22 = 2,574.84 : x
  2. Step 2: Convert to fraction form
    8,419.80/12,625.22 = 2,574.84/x
  3. Step 3: Cross multiply
    8,419.80x = 12,625.22 × 2,574.84
  4. Step 4: Simplify right side
    8,419.80x = 32,507,921.46
  5. Step 5: Solve for x
    x = 32,507,921.46/8,419.80
  6. Step 6: Final answer
    x = 3,860.89

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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.