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Finding the Fourth Proportional to 7,892.57, 11,839.50 and 2,345.92

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Solution

The fourth proportional to 7,892.57, 11,839.50 and 2,345.92 is: 3,519.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.57 : 11,839.50 = 2,345.92 : x
  2. Step 2: Convert to fraction form
    7,892.57/11,839.50 = 2,345.92/x
  3. Step 3: Cross multiply
    7,892.57x = 11,839.50 × 2,345.92
  4. Step 4: Simplify right side
    7,892.57x = 27,774,508.11
  5. Step 5: Solve for x
    x = 27,774,508.11/7,892.57
  6. Step 6: Final answer
    x = 3,519.07

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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.