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Finding the Fourth Proportional to 1,574.38, 2,172.65 and 866.26

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Solution

The fourth proportional to 1,574.38, 2,172.65 and 866.26 is: 1,195.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.38 : 2,172.65 = 866.26 : x
  2. Step 2: Convert to fraction form
    1,574.38/2,172.65 = 866.26/x
  3. Step 3: Cross multiply
    1,574.38x = 2,172.65 × 866.26
  4. Step 4: Simplify right side
    1,574.38x = 1,882,071.44
  5. Step 5: Solve for x
    x = 1,882,071.44/1,574.38
  6. Step 6: Final answer
    x = 1,195.43

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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.