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Finding the Fourth Proportional to 3,909.65, 5,394.65 and 2,315.67

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Solution

The fourth proportional to 3,909.65, 5,394.65 and 2,315.67 is: 3,195.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.65 : 5,394.65 = 2,315.67 : x
  2. Step 2: Convert to fraction form
    3,909.65/5,394.65 = 2,315.67/x
  3. Step 3: Cross multiply
    3,909.65x = 5,394.65 × 2,315.67
  4. Step 4: Simplify right side
    3,909.65x = 12,492,217.59
  5. Step 5: Solve for x
    x = 12,492,217.59/3,909.65
  6. Step 6: Final answer
    x = 3,195.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.