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Finding the Fourth Proportional to 18,810, 25,958.70 and 10,426.50

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Solution

The fourth proportional to 18,810, 25,958.70 and 10,426.50 is: 14,389.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,810 : 25,958.70 = 10,426.50 : x
  2. Step 2: Convert to fraction form
    18,810/25,958.70 = 10,426.50/x
  3. Step 3: Cross multiply
    18,810x = 25,958.70 × 10,426.50
  4. Step 4: Simplify right side
    18,810x = 270,658,385.55
  5. Step 5: Solve for x
    x = 270,658,385.55/18,810
  6. Step 6: Final answer
    x = 14,389.07

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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.