Home / 2,140.17-3,207.11-970.53

Finding the Fourth Proportional to 2,140.17, 3,207.11 and 970.53

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Solution

The fourth proportional to 2,140.17, 3,207.11 and 970.53 is: 1,454.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.17 : 3,207.11 = 970.53 : x
  2. Step 2: Convert to fraction form
    2,140.17/3,207.11 = 970.53/x
  3. Step 3: Cross multiply
    2,140.17x = 3,207.11 × 970.53
  4. Step 4: Simplify right side
    2,140.17x = 3,112,585.05
  5. Step 5: Solve for x
    x = 3,112,585.05/2,140.17
  6. Step 6: Final answer
    x = 1,454.37

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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.