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Finding the Fourth Proportional to 2,114.31, 3,171.87 and 653.21

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Solution

The fourth proportional to 2,114.31, 3,171.87 and 653.21 is: 979.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.31 : 3,171.87 = 653.21 : x
  2. Step 2: Convert to fraction form
    2,114.31/3,171.87 = 653.21/x
  3. Step 3: Cross multiply
    2,114.31x = 3,171.87 × 653.21
  4. Step 4: Simplify right side
    2,114.31x = 2,071,881.34
  5. Step 5: Solve for x
    x = 2,071,881.34/2,114.31
  6. Step 6: Final answer
    x = 979.93

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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.