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Finding the Fourth Proportional to 1,951.90, 2,693.64 and 1,254.50

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Solution

The fourth proportional to 1,951.90, 2,693.64 and 1,254.50 is: 1,731.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.90 : 2,693.64 = 1,254.50 : x
  2. Step 2: Convert to fraction form
    1,951.90/2,693.64 = 1,254.50/x
  3. Step 3: Cross multiply
    1,951.90x = 2,693.64 × 1,254.50
  4. Step 4: Simplify right side
    1,951.90x = 3,379,171.38
  5. Step 5: Solve for x
    x = 3,379,171.38/1,951.90
  6. Step 6: Final answer
    x = 1,731.22

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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.