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Finding the Fourth Proportional to 7,892.64, 11,834.74 and 2,345.20

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Solution

The fourth proportional to 7,892.64, 11,834.74 and 2,345.20 is: 3,516.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.64 : 11,834.74 = 2,345.20 : x
  2. Step 2: Convert to fraction form
    7,892.64/11,834.74 = 2,345.20/x
  3. Step 3: Cross multiply
    7,892.64x = 11,834.74 × 2,345.20
  4. Step 4: Simplify right side
    7,892.64x = 27,754,832.25
  5. Step 5: Solve for x
    x = 27,754,832.25/7,892.64
  6. Step 6: Final answer
    x = 3,516.55

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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.