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Finding the Fourth Proportional to 18,262, 25,201.74 and 9,878.68

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Solution

The fourth proportional to 18,262, 25,201.74 and 9,878.68 is: 13,632.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,262 : 25,201.74 = 9,878.68 : x
  2. Step 2: Convert to fraction form
    18,262/25,201.74 = 9,878.68/x
  3. Step 3: Cross multiply
    18,262x = 25,201.74 × 9,878.68
  4. Step 4: Simplify right side
    18,262x = 248,959,924.90
  5. Step 5: Solve for x
    x = 248,959,924.90/18,262
  6. Step 6: Final answer
    x = 13,632.68

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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.