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Finding the Fourth Proportional to 3,149.94, 4,726.56 and 1,689

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Solution

The fourth proportional to 3,149.94, 4,726.56 and 1,689 is: 2,534.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.94 : 4,726.56 = 1,689 : x
  2. Step 2: Convert to fraction form
    3,149.94/4,726.56 = 1,689/x
  3. Step 3: Cross multiply
    3,149.94x = 4,726.56 × 1,689
  4. Step 4: Simplify right side
    3,149.94x = 7,983,159.84
  5. Step 5: Solve for x
    x = 7,983,159.84/3,149.94
  6. Step 6: Final answer
    x = 2,534.38

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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.