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Finding the Fourth Proportional to 21,115.94, 31,641.06 and 7,961.12

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Solution

The fourth proportional to 21,115.94, 31,641.06 and 7,961.12 is: 11,929.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,115.94 : 31,641.06 = 7,961.12 : x
  2. Step 2: Convert to fraction form
    21,115.94/31,641.06 = 7,961.12/x
  3. Step 3: Cross multiply
    21,115.94x = 31,641.06 × 7,961.12
  4. Step 4: Simplify right side
    21,115.94x = 251,898,275.59
  5. Step 5: Solve for x
    x = 251,898,275.59/21,115.94
  6. Step 6: Final answer
    x = 11,929.29

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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.