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Finding the Fourth Proportional to 3,423.85, 5,111 and 3,008.66

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Solution

The fourth proportional to 3,423.85, 5,111 and 3,008.66 is: 4,491.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.85 : 5,111 = 3,008.66 : x
  2. Step 2: Convert to fraction form
    3,423.85/5,111 = 3,008.66/x
  3. Step 3: Cross multiply
    3,423.85x = 5,111 × 3,008.66
  4. Step 4: Simplify right side
    3,423.85x = 15,377,248.48
  5. Step 5: Solve for x
    x = 15,377,248.48/3,423.85
  6. Step 6: Final answer
    x = 4,491.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.