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Finding the Fourth Proportional to 6,209.69, 9,315 and 2,314.13

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Solution

The fourth proportional to 6,209.69, 9,315 and 2,314.13 is: 3,471.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.69 : 9,315 = 2,314.13 : x
  2. Step 2: Convert to fraction form
    6,209.69/9,315 = 2,314.13/x
  3. Step 3: Cross multiply
    6,209.69x = 9,315 × 2,314.13
  4. Step 4: Simplify right side
    6,209.69x = 21,556,074.38
  5. Step 5: Solve for x
    x = 21,556,074.38/6,209.69
  6. Step 6: Final answer
    x = 3,471.36

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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.