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Finding the Fourth Proportional to 2,768.90, 4,154.15 and 821.15

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Solution

The fourth proportional to 2,768.90, 4,154.15 and 821.15 is: 1,231.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.90 : 4,154.15 = 821.15 : x
  2. Step 2: Convert to fraction form
    2,768.90/4,154.15 = 821.15/x
  3. Step 3: Cross multiply
    2,768.90x = 4,154.15 × 821.15
  4. Step 4: Simplify right side
    2,768.90x = 3,411,155.40
  5. Step 5: Solve for x
    x = 3,411,155.40/2,768.90
  6. Step 6: Final answer
    x = 1,231.96

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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.