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Finding the Fourth Proportional to 3,423.96, 5,126.76 and 2,381.76

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Solution

The fourth proportional to 3,423.96, 5,126.76 and 2,381.76 is: 3,566.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.96 : 5,126.76 = 2,381.76 : x
  2. Step 2: Convert to fraction form
    3,423.96/5,126.76 = 2,381.76/x
  3. Step 3: Cross multiply
    3,423.96x = 5,126.76 × 2,381.76
  4. Step 4: Simplify right side
    3,423.96x = 12,210,711.90
  5. Step 5: Solve for x
    x = 12,210,711.90/3,423.96
  6. Step 6: Final answer
    x = 3,566.25

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1.5x scale

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.