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Finding the Fourth Proportional to 18,814, 25,963.50 and 10,430.68

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Solution

The fourth proportional to 18,814, 25,963.50 and 10,430.68 is: 14,394.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,814 : 25,963.50 = 10,430.68 : x
  2. Step 2: Convert to fraction form
    18,814/25,963.50 = 10,430.68/x
  3. Step 3: Cross multiply
    18,814x = 25,963.50 × 10,430.68
  4. Step 4: Simplify right side
    18,814x = 270,816,960.18
  5. Step 5: Solve for x
    x = 270,816,960.18/18,814
  6. Step 6: Final answer
    x = 14,394.44

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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.