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Finding the Fourth Proportional to 2,106.38, 3,159.57 and 567.38

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Solution

The fourth proportional to 2,106.38, 3,159.57 and 567.38 is: 851.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.38 : 3,159.57 = 567.38 : x
  2. Step 2: Convert to fraction form
    2,106.38/3,159.57 = 567.38/x
  3. Step 3: Cross multiply
    2,106.38x = 3,159.57 × 567.38
  4. Step 4: Simplify right side
    2,106.38x = 1,792,661.03
  5. Step 5: Solve for x
    x = 1,792,661.03/2,106.38
  6. Step 6: Final answer
    x = 851.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.