Home / 1,654.47-2,282.31-1,065.21

Finding the Fourth Proportional to 1,654.47, 2,282.31 and 1,065.21

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Solution

The fourth proportional to 1,654.47, 2,282.31 and 1,065.21 is: 1,469.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.47 : 2,282.31 = 1,065.21 : x
  2. Step 2: Convert to fraction form
    1,654.47/2,282.31 = 1,065.21/x
  3. Step 3: Cross multiply
    1,654.47x = 2,282.31 × 1,065.21
  4. Step 4: Simplify right side
    1,654.47x = 2,431,139.44
  5. Step 5: Solve for x
    x = 2,431,139.44/1,654.47
  6. Step 6: Final answer
    x = 1,469.44

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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.