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Finding the Fourth Proportional to 16,603.50, 22,906.50 and 9,889.38

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Solution

The fourth proportional to 16,603.50, 22,906.50 and 9,889.38 is: 13,643.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,603.50 : 22,906.50 = 9,889.38 : x
  2. Step 2: Convert to fraction form
    16,603.50/22,906.50 = 9,889.38/x
  3. Step 3: Cross multiply
    16,603.50x = 22,906.50 × 9,889.38
  4. Step 4: Simplify right side
    16,603.50x = 226,531,082.97
  5. Step 5: Solve for x
    x = 226,531,082.97/16,603.50
  6. Step 6: Final answer
    x = 13,643.57

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1.5x scale

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.