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Finding the Fourth Proportional to 7,891.63, 11,839.14 and 2,345.42

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Solution

The fourth proportional to 7,891.63, 11,839.14 and 2,345.42 is: 3,518.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.63 : 11,839.14 = 2,345.42 : x
  2. Step 2: Convert to fraction form
    7,891.63/11,839.14 = 2,345.42/x
  3. Step 3: Cross multiply
    7,891.63x = 11,839.14 × 2,345.42
  4. Step 4: Simplify right side
    7,891.63x = 27,767,785.34
  5. Step 5: Solve for x
    x = 27,767,785.34/7,891.63
  6. Step 6: Final answer
    x = 3,518.64

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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.