Home / 1,567.31-2,162.88-849.49

Finding the Fourth Proportional to 1,567.31, 2,162.88 and 849.49

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Solution

The fourth proportional to 1,567.31, 2,162.88 and 849.49 is: 1,172.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.31 : 2,162.88 = 849.49 : x
  2. Step 2: Convert to fraction form
    1,567.31/2,162.88 = 849.49/x
  3. Step 3: Cross multiply
    1,567.31x = 2,162.88 × 849.49
  4. Step 4: Simplify right side
    1,567.31x = 1,837,347.05
  5. Step 5: Solve for x
    x = 1,837,347.05/1,567.31
  6. Step 6: Final answer
    x = 1,172.30

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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.