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Finding the Fourth Proportional to 18,923, 26,113.50 and 10,424.90

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Solution

The fourth proportional to 18,923, 26,113.50 and 10,424.90 is: 14,386.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,923 : 26,113.50 = 10,424.90 : x
  2. Step 2: Convert to fraction form
    18,923/26,113.50 = 10,424.90/x
  3. Step 3: Cross multiply
    18,923x = 26,113.50 × 10,424.90
  4. Step 4: Simplify right side
    18,923x = 272,230,626.15
  5. Step 5: Solve for x
    x = 272,230,626.15/18,923
  6. Step 6: Final answer
    x = 14,386.23

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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.