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Finding the Fourth Proportional to 3,582.87, 5,374.31 and 986.55

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Solution

The fourth proportional to 3,582.87, 5,374.31 and 986.55 is: 1,479.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582.87 : 5,374.31 = 986.55 : x
  2. Step 2: Convert to fraction form
    3,582.87/5,374.31 = 986.55/x
  3. Step 3: Cross multiply
    3,582.87x = 5,374.31 × 986.55
  4. Step 4: Simplify right side
    3,582.87x = 5,302,020.60
  5. Step 5: Solve for x
    x = 5,302,020.60/3,582.87
  6. Step 6: Final answer
    x = 1,479.83

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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.