Home / 2,103.31-3,154.97-947.71

Finding the Fourth Proportional to 2,103.31, 3,154.97 and 947.71

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Solution

The fourth proportional to 2,103.31, 3,154.97 and 947.71 is: 1,421.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.31 : 3,154.97 = 947.71 : x
  2. Step 2: Convert to fraction form
    2,103.31/3,154.97 = 947.71/x
  3. Step 3: Cross multiply
    2,103.31x = 3,154.97 × 947.71
  4. Step 4: Simplify right side
    2,103.31x = 2,989,996.62
  5. Step 5: Solve for x
    x = 2,989,996.62/2,103.31
  6. Step 6: Final answer
    x = 1,421.57

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1.5x scale

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.