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Finding the Fourth Proportional to 21,302, 31,958.20 and 6,710

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Solution

The fourth proportional to 21,302, 31,958.20 and 6,710 is: 10,066.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,302 : 31,958.20 = 6,710 : x
  2. Step 2: Convert to fraction form
    21,302/31,958.20 = 6,710/x
  3. Step 3: Cross multiply
    21,302x = 31,958.20 × 6,710
  4. Step 4: Simplify right side
    21,302x = 214,439,522
  5. Step 5: Solve for x
    x = 214,439,522/21,302
  6. Step 6: Final answer
    x = 10,066.64

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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.