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Finding the Fourth Proportional to 21,115.93, 31,641.06 and 7,961.13

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Solution

The fourth proportional to 21,115.93, 31,641.06 and 7,961.13 is: 11,929.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,115.93 : 31,641.06 = 7,961.13 : x
  2. Step 2: Convert to fraction form
    21,115.93/31,641.06 = 7,961.13/x
  3. Step 3: Cross multiply
    21,115.93x = 31,641.06 × 7,961.13
  4. Step 4: Simplify right side
    21,115.93x = 251,898,592.00
  5. Step 5: Solve for x
    x = 251,898,592.00/21,115.93
  6. Step 6: Final answer
    x = 11,929.32

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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.