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Finding the Fourth Proportional to 2,748.78, 4,123.65 and 1,651.68

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Solution

The fourth proportional to 2,748.78, 4,123.65 and 1,651.68 is: 2,477.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.78 : 4,123.65 = 1,651.68 : x
  2. Step 2: Convert to fraction form
    2,748.78/4,123.65 = 1,651.68/x
  3. Step 3: Cross multiply
    2,748.78x = 4,123.65 × 1,651.68
  4. Step 4: Simplify right side
    2,748.78x = 6,810,950.23
  5. Step 5: Solve for x
    x = 6,810,950.23/2,748.78
  6. Step 6: Final answer
    x = 2,477.81

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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.