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Finding the Fourth Proportional to 7,842.84, 11,766.42 and 2,652.36

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Solution

The fourth proportional to 7,842.84, 11,766.42 and 2,652.36 is: 3,979.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.84 : 11,766.42 = 2,652.36 : x
  2. Step 2: Convert to fraction form
    7,842.84/11,766.42 = 2,652.36/x
  3. Step 3: Cross multiply
    7,842.84x = 11,766.42 × 2,652.36
  4. Step 4: Simplify right side
    7,842.84x = 31,208,781.75
  5. Step 5: Solve for x
    x = 31,208,781.75/7,842.84
  6. Step 6: Final answer
    x = 3,979.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.