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Finding the Fourth Proportional to 12,842.28, 17,722.29 and 7,177.03

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Solution

The fourth proportional to 12,842.28, 17,722.29 and 7,177.03 is: 9,904.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.28 : 17,722.29 = 7,177.03 : x
  2. Step 2: Convert to fraction form
    12,842.28/17,722.29 = 7,177.03/x
  3. Step 3: Cross multiply
    12,842.28x = 17,722.29 × 7,177.03
  4. Step 4: Simplify right side
    12,842.28x = 127,193,389.61
  5. Step 5: Solve for x
    x = 127,193,389.61/12,842.28
  6. Step 6: Final answer
    x = 9,904.27

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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.