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Finding the Fourth Proportional to 2,114.13, 3,171.81 and 653.43

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Solution

The fourth proportional to 2,114.13, 3,171.81 and 653.43 is: 980.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.13 : 3,171.81 = 653.43 : x
  2. Step 2: Convert to fraction form
    2,114.13/3,171.81 = 653.43/x
  3. Step 3: Cross multiply
    2,114.13x = 3,171.81 × 653.43
  4. Step 4: Simplify right side
    2,114.13x = 2,072,555.81
  5. Step 5: Solve for x
    x = 2,072,555.81/2,114.13
  6. Step 6: Final answer
    x = 980.34

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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.