Home / 7,105.09-10,656.42-1,909.75

Finding the Fourth Proportional to 7,105.09, 10,656.42 and 1,909.75

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Solution

The fourth proportional to 7,105.09, 10,656.42 and 1,909.75 is: 2,864.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.09 : 10,656.42 = 1,909.75 : x
  2. Step 2: Convert to fraction form
    7,105.09/10,656.42 = 1,909.75/x
  3. Step 3: Cross multiply
    7,105.09x = 10,656.42 × 1,909.75
  4. Step 4: Simplify right side
    7,105.09x = 20,351,098.10
  5. Step 5: Solve for x
    x = 20,351,098.10/7,105.09
  6. Step 6: Final answer
    x = 2,864.30

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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.