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Finding the Fourth Proportional to 2,686.48, 4,029.64 and 738.68

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Solution

The fourth proportional to 2,686.48, 4,029.64 and 738.68 is: 1,108.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.48 : 4,029.64 = 738.68 : x
  2. Step 2: Convert to fraction form
    2,686.48/4,029.64 = 738.68/x
  3. Step 3: Cross multiply
    2,686.48x = 4,029.64 × 738.68
  4. Step 4: Simplify right side
    2,686.48x = 2,976,614.48
  5. Step 5: Solve for x
    x = 2,976,614.48/2,686.48
  6. Step 6: Final answer
    x = 1,108.00

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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.