Home / 1,584.20-2,186.40-921.04

Finding the Fourth Proportional to 1,584.20, 2,186.40 and 921.04

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Solution

The fourth proportional to 1,584.20, 2,186.40 and 921.04 is: 1,271.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.20 : 2,186.40 = 921.04 : x
  2. Step 2: Convert to fraction form
    1,584.20/2,186.40 = 921.04/x
  3. Step 3: Cross multiply
    1,584.20x = 2,186.40 × 921.04
  4. Step 4: Simplify right side
    1,584.20x = 2,013,761.86
  5. Step 5: Solve for x
    x = 2,013,761.86/1,584.20
  6. Step 6: Final answer
    x = 1,271.15

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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.