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Finding the Fourth Proportional to 4,502.78, 6,749.49 and 1,871.72

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Solution

The fourth proportional to 4,502.78, 6,749.49 and 1,871.72 is: 2,805.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502.78 : 6,749.49 = 1,871.72 : x
  2. Step 2: Convert to fraction form
    4,502.78/6,749.49 = 1,871.72/x
  3. Step 3: Cross multiply
    4,502.78x = 6,749.49 × 1,871.72
  4. Step 4: Simplify right side
    4,502.78x = 12,633,135.02
  5. Step 5: Solve for x
    x = 12,633,135.02/4,502.78
  6. Step 6: Final answer
    x = 2,805.63

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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.