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Finding the Fourth Proportional to 5,804.40, 8,708.04 and 1,909.20

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Solution

The fourth proportional to 5,804.40, 8,708.04 and 1,909.20 is: 2,864.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.40 : 8,708.04 = 1,909.20 : x
  2. Step 2: Convert to fraction form
    5,804.40/8,708.04 = 1,909.20/x
  3. Step 3: Cross multiply
    5,804.40x = 8,708.04 × 1,909.20
  4. Step 4: Simplify right side
    5,804.40x = 16,625,389.97
  5. Step 5: Solve for x
    x = 16,625,389.97/5,804.40
  6. Step 6: Final answer
    x = 2,864.27

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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.