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Finding the Fourth Proportional to 12,597.64, 17,374.98 and 8,122.12

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Solution

The fourth proportional to 12,597.64, 17,374.98 and 8,122.12 is: 11,202.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,597.64 : 17,374.98 = 8,122.12 : x
  2. Step 2: Convert to fraction form
    12,597.64/17,374.98 = 8,122.12/x
  3. Step 3: Cross multiply
    12,597.64x = 17,374.98 × 8,122.12
  4. Step 4: Simplify right side
    12,597.64x = 141,121,672.56
  5. Step 5: Solve for x
    x = 141,121,672.56/12,597.64
  6. Step 6: Final answer
    x = 11,202.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.