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Finding the Fourth Proportional to 9,344, 14,016.40 and 3,188

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Solution

The fourth proportional to 9,344, 14,016.40 and 3,188 is: 4,782.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344 : 14,016.40 = 3,188 : x
  2. Step 2: Convert to fraction form
    9,344/14,016.40 = 3,188/x
  3. Step 3: Cross multiply
    9,344x = 14,016.40 × 3,188
  4. Step 4: Simplify right side
    9,344x = 44,684,283.20
  5. Step 5: Solve for x
    x = 44,684,283.20/9,344
  6. Step 6: Final answer
    x = 4,782.14

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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.