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Finding the Fourth Proportional to 3,582.40, 5,374.40 and 2,804.80

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Solution

The fourth proportional to 3,582.40, 5,374.40 and 2,804.80 is: 4,207.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582.40 : 5,374.40 = 2,804.80 : x
  2. Step 2: Convert to fraction form
    3,582.40/5,374.40 = 2,804.80/x
  3. Step 3: Cross multiply
    3,582.40x = 5,374.40 × 2,804.80
  4. Step 4: Simplify right side
    3,582.40x = 15,074,117.12
  5. Step 5: Solve for x
    x = 15,074,117.12/3,582.40
  6. Step 6: Final answer
    x = 4,207.83

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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.