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Finding the Fourth Proportional to 3,869.60, 5,804.40 and 1,404.80

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Solution

The fourth proportional to 3,869.60, 5,804.40 and 1,404.80 is: 2,107.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.60 : 5,804.40 = 1,404.80 : x
  2. Step 2: Convert to fraction form
    3,869.60/5,804.40 = 1,404.80/x
  3. Step 3: Cross multiply
    3,869.60x = 5,804.40 × 1,404.80
  4. Step 4: Simplify right side
    3,869.60x = 8,154,021.12
  5. Step 5: Solve for x
    x = 8,154,021.12/3,869.60
  6. Step 6: Final answer
    x = 2,107.20

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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.