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Finding the Fourth Proportional to 9,327, 13,988.49 and 3,085.53

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Solution

The fourth proportional to 9,327, 13,988.49 and 3,085.53 is: 4,627.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,327 : 13,988.49 = 3,085.53 : x
  2. Step 2: Convert to fraction form
    9,327/13,988.49 = 3,085.53/x
  3. Step 3: Cross multiply
    9,327x = 13,988.49 × 3,085.53
  4. Step 4: Simplify right side
    9,327x = 43,161,905.55
  5. Step 5: Solve for x
    x = 43,161,905.55/9,327
  6. Step 6: Final answer
    x = 4,627.63

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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.