Home / 1,584.21-2,186.35-921.02

Finding the Fourth Proportional to 1,584.21, 2,186.35 and 921.02

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Solution

The fourth proportional to 1,584.21, 2,186.35 and 921.02 is: 1,271.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.21 : 2,186.35 = 921.02 : x
  2. Step 2: Convert to fraction form
    1,584.21/2,186.35 = 921.02/x
  3. Step 3: Cross multiply
    1,584.21x = 2,186.35 × 921.02
  4. Step 4: Simplify right side
    1,584.21x = 2,013,667.47
  5. Step 5: Solve for x
    x = 2,013,667.47/1,584.21
  6. Step 6: Final answer
    x = 1,271.09

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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.