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Finding the Fourth Proportional to 2,126.25, 3,189.78 and 972

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Solution

The fourth proportional to 2,126.25, 3,189.78 and 972 is: 1,458.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.25 : 3,189.78 = 972 : x
  2. Step 2: Convert to fraction form
    2,126.25/3,189.78 = 972/x
  3. Step 3: Cross multiply
    2,126.25x = 3,189.78 × 972
  4. Step 4: Simplify right side
    2,126.25x = 3,100,466.16
  5. Step 5: Solve for x
    x = 3,100,466.16/2,126.25
  6. Step 6: Final answer
    x = 1,458.19

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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.