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Finding the Fourth Proportional to 9,343, 14,016.72 and 3,187

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Solution

The fourth proportional to 9,343, 14,016.72 and 3,187 is: 4,781.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,343 : 14,016.72 = 3,187 : x
  2. Step 2: Convert to fraction form
    9,343/14,016.72 = 3,187/x
  3. Step 3: Cross multiply
    9,343x = 14,016.72 × 3,187
  4. Step 4: Simplify right side
    9,343x = 44,671,286.64
  5. Step 5: Solve for x
    x = 44,671,286.64/9,343
  6. Step 6: Final answer
    x = 4,781.26

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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.