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Finding the Fourth Proportional to 1,899, 2,847.24 and 1,077.66

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Solution

The fourth proportional to 1,899, 2,847.24 and 1,077.66 is: 1,615.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899 : 2,847.24 = 1,077.66 : x
  2. Step 2: Convert to fraction form
    1,899/2,847.24 = 1,077.66/x
  3. Step 3: Cross multiply
    1,899x = 2,847.24 × 1,077.66
  4. Step 4: Simplify right side
    1,899x = 3,068,356.66
  5. Step 5: Solve for x
    x = 3,068,356.66/1,899
  6. Step 6: Final answer
    x = 1,615.77

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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.