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Finding the Fourth Proportional to 3,451.59, 5,177.48 and 854.50

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Solution

The fourth proportional to 3,451.59, 5,177.48 and 854.50 is: 1,281.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.59 : 5,177.48 = 854.50 : x
  2. Step 2: Convert to fraction form
    3,451.59/5,177.48 = 854.50/x
  3. Step 3: Cross multiply
    3,451.59x = 5,177.48 × 854.50
  4. Step 4: Simplify right side
    3,451.59x = 4,424,156.66
  5. Step 5: Solve for x
    x = 4,424,156.66/3,451.59
  6. Step 6: Final answer
    x = 1,281.77

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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.