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Finding the Fourth Proportional to 10,187, 15,256.80 and 9,906.72

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Solution

The fourth proportional to 10,187, 15,256.80 and 9,906.72 is: 14,837.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,187 : 15,256.80 = 9,906.72 : x
  2. Step 2: Convert to fraction form
    10,187/15,256.80 = 9,906.72/x
  3. Step 3: Cross multiply
    10,187x = 15,256.80 × 9,906.72
  4. Step 4: Simplify right side
    10,187x = 151,144,845.70
  5. Step 5: Solve for x
    x = 151,144,845.70/10,187
  6. Step 6: Final answer
    x = 14,837.03

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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.