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Finding the Fourth Proportional to 3,449.66, 5,177.12 and 2,784.11

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Solution

The fourth proportional to 3,449.66, 5,177.12 and 2,784.11 is: 4,178.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.66 : 5,177.12 = 2,784.11 : x
  2. Step 2: Convert to fraction form
    3,449.66/5,177.12 = 2,784.11/x
  3. Step 3: Cross multiply
    3,449.66x = 5,177.12 × 2,784.11
  4. Step 4: Simplify right side
    3,449.66x = 14,413,631.76
  5. Step 5: Solve for x
    x = 14,413,631.76/3,449.66
  6. Step 6: Final answer
    x = 4,178.28

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1.5x scale

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.