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Finding the Fourth Proportional to 8,420.31, 12,629.04 and 2,497.08

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Solution

The fourth proportional to 8,420.31, 12,629.04 and 2,497.08 is: 3,745.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.31 : 12,629.04 = 2,497.08 : x
  2. Step 2: Convert to fraction form
    8,420.31/12,629.04 = 2,497.08/x
  3. Step 3: Cross multiply
    8,420.31x = 12,629.04 × 2,497.08
  4. Step 4: Simplify right side
    8,420.31x = 31,535,723.20
  5. Step 5: Solve for x
    x = 31,535,723.20/8,420.31
  6. Step 6: Final answer
    x = 3,745.20

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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.