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Finding the Fourth Proportional to 2,769.60, 4,153.68 and 821.34

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Solution

The fourth proportional to 2,769.60, 4,153.68 and 821.34 is: 1,231.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.60 : 4,153.68 = 821.34 : x
  2. Step 2: Convert to fraction form
    2,769.60/4,153.68 = 821.34/x
  3. Step 3: Cross multiply
    2,769.60x = 4,153.68 × 821.34
  4. Step 4: Simplify right side
    2,769.60x = 3,411,583.53
  5. Step 5: Solve for x
    x = 3,411,583.53/2,769.60
  6. Step 6: Final answer
    x = 1,231.80

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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.