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Finding the Fourth Proportional to 2,114.72, 3,172.16 and 653.92

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Solution

The fourth proportional to 2,114.72, 3,172.16 and 653.92 is: 980.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.72 : 3,172.16 = 653.92 : x
  2. Step 2: Convert to fraction form
    2,114.72/3,172.16 = 653.92/x
  3. Step 3: Cross multiply
    2,114.72x = 3,172.16 × 653.92
  4. Step 4: Simplify right side
    2,114.72x = 2,074,338.87
  5. Step 5: Solve for x
    x = 2,074,338.87/2,114.72
  6. Step 6: Final answer
    x = 980.90

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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.