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Finding the Fourth Proportional to 18,008.30, 27,010.02 and 6,320

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Solution

The fourth proportional to 18,008.30, 27,010.02 and 6,320 is: 9,479.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,008.30 : 27,010.02 = 6,320 : x
  2. Step 2: Convert to fraction form
    18,008.30/27,010.02 = 6,320/x
  3. Step 3: Cross multiply
    18,008.30x = 27,010.02 × 6,320
  4. Step 4: Simplify right side
    18,008.30x = 170,703,326.40
  5. Step 5: Solve for x
    x = 170,703,326.40/18,008.30
  6. Step 6: Final answer
    x = 9,479.15

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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.