Home / 1,567.16-2,162.68-868.54

Finding the Fourth Proportional to 1,567.16, 2,162.68 and 868.54

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Solution

The fourth proportional to 1,567.16, 2,162.68 and 868.54 is: 1,198.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.16 : 2,162.68 = 868.54 : x
  2. Step 2: Convert to fraction form
    1,567.16/2,162.68 = 868.54/x
  3. Step 3: Cross multiply
    1,567.16x = 2,162.68 × 868.54
  4. Step 4: Simplify right side
    1,567.16x = 1,878,364.49
  5. Step 5: Solve for x
    x = 1,878,364.49/1,567.16
  6. Step 6: Final answer
    x = 1,198.58

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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.