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Finding the Fourth Proportional to 21,304, 31,961.20 and 6,712

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Solution

The fourth proportional to 21,304, 31,961.20 and 6,712 is: 10,069.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,304 : 31,961.20 = 6,712 : x
  2. Step 2: Convert to fraction form
    21,304/31,961.20 = 6,712/x
  3. Step 3: Cross multiply
    21,304x = 31,961.20 × 6,712
  4. Step 4: Simplify right side
    21,304x = 214,523,574.40
  5. Step 5: Solve for x
    x = 214,523,574.40/21,304
  6. Step 6: Final answer
    x = 10,069.64

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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.