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Finding the Fourth Proportional to 3,582.90, 5,376.87 and 3,276.90

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Solution

The fourth proportional to 3,582.90, 5,376.87 and 3,276.90 is: 4,917.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582.90 : 5,376.87 = 3,276.90 : x
  2. Step 2: Convert to fraction form
    3,582.90/5,376.87 = 3,276.90/x
  3. Step 3: Cross multiply
    3,582.90x = 5,376.87 × 3,276.90
  4. Step 4: Simplify right side
    3,582.90x = 17,619,465.30
  5. Step 5: Solve for x
    x = 17,619,465.30/3,582.90
  6. Step 6: Final answer
    x = 4,917.65

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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.