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Finding the Fourth Proportional to 15,876, 23,808.06 and 12,748.32

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Solution

The fourth proportional to 15,876, 23,808.06 and 12,748.32 is: 19,117.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,876 : 23,808.06 = 12,748.32 : x
  2. Step 2: Convert to fraction form
    15,876/23,808.06 = 12,748.32/x
  3. Step 3: Cross multiply
    15,876x = 23,808.06 × 12,748.32
  4. Step 4: Simplify right side
    15,876x = 303,512,767.46
  5. Step 5: Solve for x
    x = 303,512,767.46/15,876
  6. Step 6: Final answer
    x = 19,117.71

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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.