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Finding the Fourth Proportional to 5,429.90, 8,145.90 and 2,309.90

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Solution

The fourth proportional to 5,429.90, 8,145.90 and 2,309.90 is: 3,465.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,429.90 : 8,145.90 = 2,309.90 : x
  2. Step 2: Convert to fraction form
    5,429.90/8,145.90 = 2,309.90/x
  3. Step 3: Cross multiply
    5,429.90x = 8,145.90 × 2,309.90
  4. Step 4: Simplify right side
    5,429.90x = 18,816,214.41
  5. Step 5: Solve for x
    x = 18,816,214.41/5,429.90
  6. Step 6: Final answer
    x = 3,465.30

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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.