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Finding the Fourth Proportional to 2,381.56, 3,572.57 and 821.35

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Solution

The fourth proportional to 2,381.56, 3,572.57 and 821.35 is: 1,232.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.56 : 3,572.57 = 821.35 : x
  2. Step 2: Convert to fraction form
    2,381.56/3,572.57 = 821.35/x
  3. Step 3: Cross multiply
    2,381.56x = 3,572.57 × 821.35
  4. Step 4: Simplify right side
    2,381.56x = 2,934,336.89
  5. Step 5: Solve for x
    x = 2,934,336.89/2,381.56
  6. Step 6: Final answer
    x = 1,232.11

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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.