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Finding the Fourth Proportional to 1,861.10, 2,792.40 and 821.30

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Solution

The fourth proportional to 1,861.10, 2,792.40 and 821.30 is: 1,232.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.10 : 2,792.40 = 821.30 : x
  2. Step 2: Convert to fraction form
    1,861.10/2,792.40 = 821.30/x
  3. Step 3: Cross multiply
    1,861.10x = 2,792.40 × 821.30
  4. Step 4: Simplify right side
    1,861.10x = 2,293,398.12
  5. Step 5: Solve for x
    x = 2,293,398.12/1,861.10
  6. Step 6: Final answer
    x = 1,232.28

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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.