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Finding the Fourth Proportional to 2,048.48, 3,070.96 and 749.68

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Solution

The fourth proportional to 2,048.48, 3,070.96 and 749.68 is: 1,123.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.48 : 3,070.96 = 749.68 : x
  2. Step 2: Convert to fraction form
    2,048.48/3,070.96 = 749.68/x
  3. Step 3: Cross multiply
    2,048.48x = 3,070.96 × 749.68
  4. Step 4: Simplify right side
    2,048.48x = 2,302,237.29
  5. Step 5: Solve for x
    x = 2,302,237.29/2,048.48
  6. Step 6: Final answer
    x = 1,123.88

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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.