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Finding the Fourth Proportional to 5,609, 8,412.42 and 1,911.20

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Solution

The fourth proportional to 5,609, 8,412.42 and 1,911.20 is: 2,866.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609 : 8,412.42 = 1,911.20 : x
  2. Step 2: Convert to fraction form
    5,609/8,412.42 = 1,911.20/x
  3. Step 3: Cross multiply
    5,609x = 8,412.42 × 1,911.20
  4. Step 4: Simplify right side
    5,609x = 16,077,817.10
  5. Step 5: Solve for x
    x = 16,077,817.10/5,609
  6. Step 6: Final answer
    x = 2,866.43

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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.