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Finding the Fourth Proportional to 1,873.94, 2,811.04 and 719.69

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Solution

The fourth proportional to 1,873.94, 2,811.04 and 719.69 is: 1,079.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.94 : 2,811.04 = 719.69 : x
  2. Step 2: Convert to fraction form
    1,873.94/2,811.04 = 719.69/x
  3. Step 3: Cross multiply
    1,873.94x = 2,811.04 × 719.69
  4. Step 4: Simplify right side
    1,873.94x = 2,023,077.38
  5. Step 5: Solve for x
    x = 2,023,077.38/1,873.94
  6. Step 6: Final answer
    x = 1,079.58

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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.