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Finding the Fourth Proportional to 2,382.57, 3,573.84 and 821.85

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Solution

The fourth proportional to 2,382.57, 3,573.84 and 821.85 is: 1,232.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.57 : 3,573.84 = 821.85 : x
  2. Step 2: Convert to fraction form
    2,382.57/3,573.84 = 821.85/x
  3. Step 3: Cross multiply
    2,382.57x = 3,573.84 × 821.85
  4. Step 4: Simplify right side
    2,382.57x = 2,937,160.40
  5. Step 5: Solve for x
    x = 2,937,160.40/2,382.57
  6. Step 6: Final answer
    x = 1,232.77

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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.