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Finding the Fourth Proportional to 18,009.30, 27,011.52 and 6,321

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Solution

The fourth proportional to 18,009.30, 27,011.52 and 6,321 is: 9,480.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,009.30 : 27,011.52 = 6,321 : x
  2. Step 2: Convert to fraction form
    18,009.30/27,011.52 = 6,321/x
  3. Step 3: Cross multiply
    18,009.30x = 27,011.52 × 6,321
  4. Step 4: Simplify right side
    18,009.30x = 170,739,817.92
  5. Step 5: Solve for x
    x = 170,739,817.92/18,009.30
  6. Step 6: Final answer
    x = 9,480.65

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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.