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Finding the Fourth Proportional to 21,117.94, 31,644.06 and 7,963.12

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Solution

The fourth proportional to 21,117.94, 31,644.06 and 7,963.12 is: 11,932.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,117.94 : 31,644.06 = 7,963.12 : x
  2. Step 2: Convert to fraction form
    21,117.94/31,644.06 = 7,963.12/x
  3. Step 3: Cross multiply
    21,117.94x = 31,644.06 × 7,963.12
  4. Step 4: Simplify right side
    21,117.94x = 251,985,447.07
  5. Step 5: Solve for x
    x = 251,985,447.07/21,117.94
  6. Step 6: Final answer
    x = 11,932.29

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1.5x scale

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.