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Finding the Fourth Proportional to 21,237.96, 31,857 and 6,447

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Solution

The fourth proportional to 21,237.96, 31,857 and 6,447 is: 9,670.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,237.96 : 31,857 = 6,447 : x
  2. Step 2: Convert to fraction form
    21,237.96/31,857 = 6,447/x
  3. Step 3: Cross multiply
    21,237.96x = 31,857 × 6,447
  4. Step 4: Simplify right side
    21,237.96x = 205,382,079
  5. Step 5: Solve for x
    x = 205,382,079/21,237.96
  6. Step 6: Final answer
    x = 9,670.52

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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.