Home / 2,126.70-3,190.05-972.45

Finding the Fourth Proportional to 2,126.70, 3,190.05 and 972.45

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Solution

The fourth proportional to 2,126.70, 3,190.05 and 972.45 is: 1,458.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.70 : 3,190.05 = 972.45 : x
  2. Step 2: Convert to fraction form
    2,126.70/3,190.05 = 972.45/x
  3. Step 3: Cross multiply
    2,126.70x = 3,190.05 × 972.45
  4. Step 4: Simplify right side
    2,126.70x = 3,102,164.12
  5. Step 5: Solve for x
    x = 3,102,164.12/2,126.70
  6. Step 6: Final answer
    x = 1,458.68

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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.