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Finding the Fourth Proportional to 3,869.60, 5,804.40 and 2,703.20

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Solution

The fourth proportional to 3,869.60, 5,804.40 and 2,703.20 is: 4,054.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.60 : 5,804.40 = 2,703.20 : x
  2. Step 2: Convert to fraction form
    3,869.60/5,804.40 = 2,703.20/x
  3. Step 3: Cross multiply
    3,869.60x = 5,804.40 × 2,703.20
  4. Step 4: Simplify right side
    3,869.60x = 15,690,454.08
  5. Step 5: Solve for x
    x = 15,690,454.08/3,869.60
  6. Step 6: Final answer
    x = 4,054.80

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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.