Home / 1,584.57-2,185.92-921.18

Finding the Fourth Proportional to 1,584.57, 2,185.92 and 921.18

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Solution

The fourth proportional to 1,584.57, 2,185.92 and 921.18 is: 1,270.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.57 : 2,185.92 = 921.18 : x
  2. Step 2: Convert to fraction form
    1,584.57/2,185.92 = 921.18/x
  3. Step 3: Cross multiply
    1,584.57x = 2,185.92 × 921.18
  4. Step 4: Simplify right side
    1,584.57x = 2,013,625.79
  5. Step 5: Solve for x
    x = 2,013,625.79/1,584.57
  6. Step 6: Final answer
    x = 1,270.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.