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Finding the Fourth Proportional to 12,494.12, 17,242.52 and 7,189.70

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Solution

The fourth proportional to 12,494.12, 17,242.52 and 7,189.70 is: 9,922.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,494.12 : 17,242.52 = 7,189.70 : x
  2. Step 2: Convert to fraction form
    12,494.12/17,242.52 = 7,189.70/x
  3. Step 3: Cross multiply
    12,494.12x = 17,242.52 × 7,189.70
  4. Step 4: Simplify right side
    12,494.12x = 123,968,423.88
  5. Step 5: Solve for x
    x = 123,968,423.88/12,494.12
  6. Step 6: Final answer
    x = 9,922.15

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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.