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Finding the Fourth Proportional to 18,652.68, 27,988.74 and 8,262

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Solution

The fourth proportional to 18,652.68, 27,988.74 and 8,262 is: 12,397.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,652.68 : 27,988.74 = 8,262 : x
  2. Step 2: Convert to fraction form
    18,652.68/27,988.74 = 8,262/x
  3. Step 3: Cross multiply
    18,652.68x = 27,988.74 × 8,262
  4. Step 4: Simplify right side
    18,652.68x = 231,242,969.88
  5. Step 5: Solve for x
    x = 231,242,969.88/18,652.68
  6. Step 6: Final answer
    x = 12,397.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.