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Finding the Fourth Proportional to 7,887.54, 10,881 and 4,906.87

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Solution

The fourth proportional to 7,887.54, 10,881 and 4,906.87 is: 6,769.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.54 : 10,881 = 4,906.87 : x
  2. Step 2: Convert to fraction form
    7,887.54/10,881 = 4,906.87/x
  3. Step 3: Cross multiply
    7,887.54x = 10,881 × 4,906.87
  4. Step 4: Simplify right side
    7,887.54x = 53,391,652.47
  5. Step 5: Solve for x
    x = 53,391,652.47/7,887.54
  6. Step 6: Final answer
    x = 6,769.11

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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.