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Finding the Fourth Proportional to 2,114.49, 3,172.19 and 653.75

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Solution

The fourth proportional to 2,114.49, 3,172.19 and 653.75 is: 980.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.49 : 3,172.19 = 653.75 : x
  2. Step 2: Convert to fraction form
    2,114.49/3,172.19 = 653.75/x
  3. Step 3: Cross multiply
    2,114.49x = 3,172.19 × 653.75
  4. Step 4: Simplify right side
    2,114.49x = 2,073,819.21
  5. Step 5: Solve for x
    x = 2,073,819.21/2,114.49
  6. Step 6: Final answer
    x = 980.77

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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.