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Finding the Fourth Proportional to 15,902.64, 23,859 and 12,404.64

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Solution

The fourth proportional to 15,902.64, 23,859 and 12,404.64 is: 18,610.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,902.64 : 23,859 = 12,404.64 : x
  2. Step 2: Convert to fraction form
    15,902.64/23,859 = 12,404.64/x
  3. Step 3: Cross multiply
    15,902.64x = 23,859 × 12,404.64
  4. Step 4: Simplify right side
    15,902.64x = 295,962,305.76
  5. Step 5: Solve for x
    x = 295,962,305.76/15,902.64
  6. Step 6: Final answer
    x = 18,610.89

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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.