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Finding the Fourth Proportional to 2,114.39, 3,170.97 and 653.51

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Solution

The fourth proportional to 2,114.39, 3,170.97 and 653.51 is: 980.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.39 : 3,170.97 = 653.51 : x
  2. Step 2: Convert to fraction form
    2,114.39/3,170.97 = 653.51/x
  3. Step 3: Cross multiply
    2,114.39x = 3,170.97 × 653.51
  4. Step 4: Simplify right side
    2,114.39x = 2,072,268.53
  5. Step 5: Solve for x
    x = 2,072,268.53/2,114.39
  6. Step 6: Final answer
    x = 980.08

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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.