Home / 2,140.26-3,211.14-970.52

Finding the Fourth Proportional to 2,140.26, 3,211.14 and 970.52

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Solution

The fourth proportional to 2,140.26, 3,211.14 and 970.52 is: 1,456.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.26 : 3,211.14 = 970.52 : x
  2. Step 2: Convert to fraction form
    2,140.26/3,211.14 = 970.52/x
  3. Step 3: Cross multiply
    2,140.26x = 3,211.14 × 970.52
  4. Step 4: Simplify right side
    2,140.26x = 3,116,475.59
  5. Step 5: Solve for x
    x = 3,116,475.59/2,140.26
  6. Step 6: Final answer
    x = 1,456.12

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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.