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Finding the Fourth Proportional to 18,210, 25,129.64 and 10,252.02

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Solution

The fourth proportional to 18,210, 25,129.64 and 10,252.02 is: 14,147.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,210 : 25,129.64 = 10,252.02 : x
  2. Step 2: Convert to fraction form
    18,210/25,129.64 = 10,252.02/x
  3. Step 3: Cross multiply
    18,210x = 25,129.64 × 10,252.02
  4. Step 4: Simplify right side
    18,210x = 257,629,571.87
  5. Step 5: Solve for x
    x = 257,629,571.87/18,210
  6. Step 6: Final answer
    x = 14,147.70

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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.