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Finding the Fourth Proportional to 1,702.50, 2,350.41 and 1,287.78

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Solution

The fourth proportional to 1,702.50, 2,350.41 and 1,287.78 is: 1,777.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.50 : 2,350.41 = 1,287.78 : x
  2. Step 2: Convert to fraction form
    1,702.50/2,350.41 = 1,287.78/x
  3. Step 3: Cross multiply
    1,702.50x = 2,350.41 × 1,287.78
  4. Step 4: Simplify right side
    1,702.50x = 3,026,810.99
  5. Step 5: Solve for x
    x = 3,026,810.99/1,702.50
  6. Step 6: Final answer
    x = 1,777.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.