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Finding the Fourth Proportional to 8,652, 12,978.72 and 2,496

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Solution

The fourth proportional to 8,652, 12,978.72 and 2,496 is: 3,744.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,652 : 12,978.72 = 2,496 : x
  2. Step 2: Convert to fraction form
    8,652/12,978.72 = 2,496/x
  3. Step 3: Cross multiply
    8,652x = 12,978.72 × 2,496
  4. Step 4: Simplify right side
    8,652x = 32,394,885.12
  5. Step 5: Solve for x
    x = 32,394,885.12/8,652
  6. Step 6: Final answer
    x = 3,744.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.