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Finding the Fourth Proportional to 18,989.16, 26,202.78 and 10,490.78

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Solution

The fourth proportional to 18,989.16, 26,202.78 and 10,490.78 is: 14,476.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,989.16 : 26,202.78 = 10,490.78 : x
  2. Step 2: Convert to fraction form
    18,989.16/26,202.78 = 10,490.78/x
  3. Step 3: Cross multiply
    18,989.16x = 26,202.78 × 10,490.78
  4. Step 4: Simplify right side
    18,989.16x = 274,887,469.35
  5. Step 5: Solve for x
    x = 274,887,469.35/18,989.16
  6. Step 6: Final answer
    x = 14,476.02

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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.