Home / 2,431.26-3,644.61-970.02

Finding the Fourth Proportional to 2,431.26, 3,644.61 and 970.02

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Solution

The fourth proportional to 2,431.26, 3,644.61 and 970.02 is: 1,454.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.26 : 3,644.61 = 970.02 : x
  2. Step 2: Convert to fraction form
    2,431.26/3,644.61 = 970.02/x
  3. Step 3: Cross multiply
    2,431.26x = 3,644.61 × 970.02
  4. Step 4: Simplify right side
    2,431.26x = 3,535,344.59
  5. Step 5: Solve for x
    x = 3,535,344.59/2,431.26
  6. Step 6: Final answer
    x = 1,454.12

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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.