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Finding the Fourth Proportional to 1,951.90, 2,927.95 and 719.69

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Solution

The fourth proportional to 1,951.90, 2,927.95 and 719.69 is: 1,079.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.90 : 2,927.95 = 719.69 : x
  2. Step 2: Convert to fraction form
    1,951.90/2,927.95 = 719.69/x
  3. Step 3: Cross multiply
    1,951.90x = 2,927.95 × 719.69
  4. Step 4: Simplify right side
    1,951.90x = 2,107,199.90
  5. Step 5: Solve for x
    x = 2,107,199.90/1,951.90
  6. Step 6: Final answer
    x = 1,079.56

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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.