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Finding the Fourth Proportional to 8,649, 12,973.50 and 2,493

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Solution

The fourth proportional to 8,649, 12,973.50 and 2,493 is: 3,739.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649 : 12,973.50 = 2,493 : x
  2. Step 2: Convert to fraction form
    8,649/12,973.50 = 2,493/x
  3. Step 3: Cross multiply
    8,649x = 12,973.50 × 2,493
  4. Step 4: Simplify right side
    8,649x = 32,342,935.50
  5. Step 5: Solve for x
    x = 32,342,935.50/8,649
  6. Step 6: Final answer
    x = 3,739.50

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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.