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Finding the Fourth Proportional to 23,428.15, 35,134.86 and 7,842.13

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Solution

The fourth proportional to 23,428.15, 35,134.86 and 7,842.13 is: 11,760.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,428.15 : 35,134.86 = 7,842.13 : x
  2. Step 2: Convert to fraction form
    23,428.15/35,134.86 = 7,842.13/x
  3. Step 3: Cross multiply
    23,428.15x = 35,134.86 × 7,842.13
  4. Step 4: Simplify right side
    23,428.15x = 275,532,139.65
  5. Step 5: Solve for x
    x = 275,532,139.65/23,428.15
  6. Step 6: Final answer
    x = 11,760.73

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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.