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Finding the Fourth Proportional to 18,641.60, 27,963.04 and 6,328

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Solution

The fourth proportional to 18,641.60, 27,963.04 and 6,328 is: 9,492.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,641.60 : 27,963.04 = 6,328 : x
  2. Step 2: Convert to fraction form
    18,641.60/27,963.04 = 6,328/x
  3. Step 3: Cross multiply
    18,641.60x = 27,963.04 × 6,328
  4. Step 4: Simplify right side
    18,641.60x = 176,950,117.12
  5. Step 5: Solve for x
    x = 176,950,117.12/18,641.60
  6. Step 6: Final answer
    x = 9,492.22

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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.