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Finding the Fourth Proportional to 2,253.02, 3,380.04 and 866.40

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Solution

The fourth proportional to 2,253.02, 3,380.04 and 866.40 is: 1,299.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.02 : 3,380.04 = 866.40 : x
  2. Step 2: Convert to fraction form
    2,253.02/3,380.04 = 866.40/x
  3. Step 3: Cross multiply
    2,253.02x = 3,380.04 × 866.40
  4. Step 4: Simplify right side
    2,253.02x = 2,928,466.66
  5. Step 5: Solve for x
    x = 2,928,466.66/2,253.02
  6. Step 6: Final answer
    x = 1,299.80

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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.