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Finding the Fourth Proportional to 3,727.35, 5,590.71 and 1,647.39

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Solution

The fourth proportional to 3,727.35, 5,590.71 and 1,647.39 is: 2,470.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727.35 : 5,590.71 = 1,647.39 : x
  2. Step 2: Convert to fraction form
    3,727.35/5,590.71 = 1,647.39/x
  3. Step 3: Cross multiply
    3,727.35x = 5,590.71 × 1,647.39
  4. Step 4: Simplify right side
    3,727.35x = 9,210,079.75
  5. Step 5: Solve for x
    x = 9,210,079.75/3,727.35
  6. Step 6: Final answer
    x = 2,470.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.