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Finding the Fourth Proportional to 18,102.48, 27,153.72 and 8,862

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Solution

The fourth proportional to 18,102.48, 27,153.72 and 8,862 is: 13,293.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,102.48 : 27,153.72 = 8,862 : x
  2. Step 2: Convert to fraction form
    18,102.48/27,153.72 = 8,862/x
  3. Step 3: Cross multiply
    18,102.48x = 27,153.72 × 8,862
  4. Step 4: Simplify right side
    18,102.48x = 240,636,266.64
  5. Step 5: Solve for x
    x = 240,636,266.64/18,102.48
  6. Step 6: Final answer
    x = 13,293.00

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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.