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Finding the Fourth Proportional to 3,386.98, 5,080.43 and 921.78

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Solution

The fourth proportional to 3,386.98, 5,080.43 and 921.78 is: 1,382.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386.98 : 5,080.43 = 921.78 : x
  2. Step 2: Convert to fraction form
    3,386.98/5,080.43 = 921.78/x
  3. Step 3: Cross multiply
    3,386.98x = 5,080.43 × 921.78
  4. Step 4: Simplify right side
    3,386.98x = 4,683,013.36
  5. Step 5: Solve for x
    x = 4,683,013.36/3,386.98
  6. Step 6: Final answer
    x = 1,382.65

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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.