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Finding the Fourth Proportional to 1,872.79, 2,807.21 and 702.03

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Solution

The fourth proportional to 1,872.79, 2,807.21 and 702.03 is: 1,052.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.79 : 2,807.21 = 702.03 : x
  2. Step 2: Convert to fraction form
    1,872.79/2,807.21 = 702.03/x
  3. Step 3: Cross multiply
    1,872.79x = 2,807.21 × 702.03
  4. Step 4: Simplify right side
    1,872.79x = 1,970,745.64
  5. Step 5: Solve for x
    x = 1,970,745.64/1,872.79
  6. Step 6: Final answer
    x = 1,052.30

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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.