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Finding the Fourth Proportional to 9,342, 14,013.36 and 3,186

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Solution

The fourth proportional to 9,342, 14,013.36 and 3,186 is: 4,779.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342 : 14,013.36 = 3,186 : x
  2. Step 2: Convert to fraction form
    9,342/14,013.36 = 3,186/x
  3. Step 3: Cross multiply
    9,342x = 14,013.36 × 3,186
  4. Step 4: Simplify right side
    9,342x = 44,646,564.96
  5. Step 5: Solve for x
    x = 44,646,564.96/9,342
  6. Step 6: Final answer
    x = 4,779.12

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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.