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Finding the Fourth Proportional to 12,908.50, 17,811.99 and 7,165.87

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Solution

The fourth proportional to 12,908.50, 17,811.99 and 7,165.87 is: 9,887.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,908.50 : 17,811.99 = 7,165.87 : x
  2. Step 2: Convert to fraction form
    12,908.50/17,811.99 = 7,165.87/x
  3. Step 3: Cross multiply
    12,908.50x = 17,811.99 × 7,165.87
  4. Step 4: Simplify right side
    12,908.50x = 127,638,404.78
  5. Step 5: Solve for x
    x = 127,638,404.78/12,908.50
  6. Step 6: Final answer
    x = 9,887.93

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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.