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Finding the Fourth Proportional to 7,478.34, 11,218.77 and 2,283

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Solution

The fourth proportional to 7,478.34, 11,218.77 and 2,283 is: 3,424.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478.34 : 11,218.77 = 2,283 : x
  2. Step 2: Convert to fraction form
    7,478.34/11,218.77 = 2,283/x
  3. Step 3: Cross multiply
    7,478.34x = 11,218.77 × 2,283
  4. Step 4: Simplify right side
    7,478.34x = 25,612,451.91
  5. Step 5: Solve for x
    x = 25,612,451.91/7,478.34
  6. Step 6: Final answer
    x = 3,424.88

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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.