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Finding the Fourth Proportional to 3,177.78, 4,767.48 and 1,446

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Solution

The fourth proportional to 3,177.78, 4,767.48 and 1,446 is: 2,169.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.78 : 4,767.48 = 1,446 : x
  2. Step 2: Convert to fraction form
    3,177.78/4,767.48 = 1,446/x
  3. Step 3: Cross multiply
    3,177.78x = 4,767.48 × 1,446
  4. Step 4: Simplify right side
    3,177.78x = 6,893,776.08
  5. Step 5: Solve for x
    x = 6,893,776.08/3,177.78
  6. Step 6: Final answer
    x = 2,169.37

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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.