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Finding the Fourth Proportional to 1,872.05, 2,808.08 and 702.60

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Solution

The fourth proportional to 1,872.05, 2,808.08 and 702.60 is: 1,053.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.05 : 2,808.08 = 702.60 : x
  2. Step 2: Convert to fraction form
    1,872.05/2,808.08 = 702.60/x
  3. Step 3: Cross multiply
    1,872.05x = 2,808.08 × 702.60
  4. Step 4: Simplify right side
    1,872.05x = 1,972,953.50
  5. Step 5: Solve for x
    x = 1,972,953.50/1,872.05
  6. Step 6: Final answer
    x = 1,053.90

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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.