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Finding the Fourth Proportional to 3,948.55, 5,917.71 and 1,605.83

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Solution

The fourth proportional to 3,948.55, 5,917.71 and 1,605.83 is: 2,406.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948.55 : 5,917.71 = 1,605.83 : x
  2. Step 2: Convert to fraction form
    3,948.55/5,917.71 = 1,605.83/x
  3. Step 3: Cross multiply
    3,948.55x = 5,917.71 × 1,605.83
  4. Step 4: Simplify right side
    3,948.55x = 9,502,836.94
  5. Step 5: Solve for x
    x = 9,502,836.94/3,948.55
  6. Step 6: Final answer
    x = 2,406.66

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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.