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Finding the Fourth Proportional to 3,776.72, 5,213 and 2,381.52

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Solution

The fourth proportional to 3,776.72, 5,213 and 2,381.52 is: 3,287.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.72 : 5,213 = 2,381.52 : x
  2. Step 2: Convert to fraction form
    3,776.72/5,213 = 2,381.52/x
  3. Step 3: Cross multiply
    3,776.72x = 5,213 × 2,381.52
  4. Step 4: Simplify right side
    3,776.72x = 12,414,863.76
  5. Step 5: Solve for x
    x = 12,414,863.76/3,776.72
  6. Step 6: Final answer
    x = 3,287.21

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1.5x scale

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.