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Finding the Fourth Proportional to 8,670.25, 13,003.20 and 2,428.65

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Solution

The fourth proportional to 8,670.25, 13,003.20 and 2,428.65 is: 3,642.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.25 : 13,003.20 = 2,428.65 : x
  2. Step 2: Convert to fraction form
    8,670.25/13,003.20 = 2,428.65/x
  3. Step 3: Cross multiply
    8,670.25x = 13,003.20 × 2,428.65
  4. Step 4: Simplify right side
    8,670.25x = 31,580,221.68
  5. Step 5: Solve for x
    x = 31,580,221.68/8,670.25
  6. Step 6: Final answer
    x = 3,642.37

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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.