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Finding the Fourth Proportional to 18,235, 25,164.30 and 9,851.50

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Solution

The fourth proportional to 18,235, 25,164.30 and 9,851.50 is: 13,595.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,235 : 25,164.30 = 9,851.50 : x
  2. Step 2: Convert to fraction form
    18,235/25,164.30 = 9,851.50/x
  3. Step 3: Cross multiply
    18,235x = 25,164.30 × 9,851.50
  4. Step 4: Simplify right side
    18,235x = 247,906,101.45
  5. Step 5: Solve for x
    x = 247,906,101.45/18,235
  6. Step 6: Final answer
    x = 13,595.07

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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.