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Finding the Fourth Proportional to 3,386.94, 5,080.52 and 921.82

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Solution

The fourth proportional to 3,386.94, 5,080.52 and 921.82 is: 1,382.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386.94 : 5,080.52 = 921.82 : x
  2. Step 2: Convert to fraction form
    3,386.94/5,080.52 = 921.82/x
  3. Step 3: Cross multiply
    3,386.94x = 5,080.52 × 921.82
  4. Step 4: Simplify right side
    3,386.94x = 4,683,324.95
  5. Step 5: Solve for x
    x = 4,683,324.95/3,386.94
  6. Step 6: Final answer
    x = 1,382.76

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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.