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Finding the Fourth Proportional to 15,872.00, 21,904.89 and 8,800.16

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Solution

The fourth proportional to 15,872.00, 21,904.89 and 8,800.16 is: 12,145.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,872.00 : 21,904.89 = 8,800.16 : x
  2. Step 2: Convert to fraction form
    15,872.00/21,904.89 = 8,800.16/x
  3. Step 3: Cross multiply
    15,872.00x = 21,904.89 × 8,800.16
  4. Step 4: Simplify right side
    15,872.00x = 192,766,427.26
  5. Step 5: Solve for x
    x = 192,766,427.26/15,872.00
  6. Step 6: Final answer
    x = 12,145.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.