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Finding the Fourth Proportional to 2,685.76, 4,028.54 and 737.91

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Solution

The fourth proportional to 2,685.76, 4,028.54 and 737.91 is: 1,106.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.76 : 4,028.54 = 737.91 : x
  2. Step 2: Convert to fraction form
    2,685.76/4,028.54 = 737.91/x
  3. Step 3: Cross multiply
    2,685.76x = 4,028.54 × 737.91
  4. Step 4: Simplify right side
    2,685.76x = 2,972,696.26
  5. Step 5: Solve for x
    x = 2,972,696.26/2,685.76
  6. Step 6: Final answer
    x = 1,106.84

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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.