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Finding the Fourth Proportional to 12,310.89, 16,989.03 and 7,597.89

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Solution

The fourth proportional to 12,310.89, 16,989.03 and 7,597.89 is: 10,485.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,310.89 : 16,989.03 = 7,597.89 : x
  2. Step 2: Convert to fraction form
    12,310.89/16,989.03 = 7,597.89/x
  3. Step 3: Cross multiply
    12,310.89x = 16,989.03 × 7,597.89
  4. Step 4: Simplify right side
    12,310.89x = 129,080,781.15
  5. Step 5: Solve for x
    x = 129,080,781.15/12,310.89
  6. Step 6: Final answer
    x = 10,485.09

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Why These Related Problems?

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