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Finding the Fourth Proportional to 15,910, 23,865.06 and 5,380.08

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Solution

The fourth proportional to 15,910, 23,865.06 and 5,380.08 is: 8,070.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,910 : 23,865.06 = 5,380.08 : x
  2. Step 2: Convert to fraction form
    15,910/23,865.06 = 5,380.08/x
  3. Step 3: Cross multiply
    15,910x = 23,865.06 × 5,380.08
  4. Step 4: Simplify right side
    15,910x = 128,395,932.00
  5. Step 5: Solve for x
    x = 128,395,932.00/15,910
  6. Step 6: Final answer
    x = 8,070.14

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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.