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Finding the Fourth Proportional to 2,114.28, 3,171 and 653.08

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Solution

The fourth proportional to 2,114.28, 3,171 and 653.08 is: 979.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.28 : 3,171 = 653.08 : x
  2. Step 2: Convert to fraction form
    2,114.28/3,171 = 653.08/x
  3. Step 3: Cross multiply
    2,114.28x = 3,171 × 653.08
  4. Step 4: Simplify right side
    2,114.28x = 2,070,916.68
  5. Step 5: Solve for x
    x = 2,070,916.68/2,114.28
  6. Step 6: Final answer
    x = 979.49

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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.