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Finding the Fourth Proportional to 13,114.35, 18,097.81 and 7,146

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Solution

The fourth proportional to 13,114.35, 18,097.81 and 7,146 is: 9,861.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.35 : 18,097.81 = 7,146 : x
  2. Step 2: Convert to fraction form
    13,114.35/18,097.81 = 7,146/x
  3. Step 3: Cross multiply
    13,114.35x = 18,097.81 × 7,146
  4. Step 4: Simplify right side
    13,114.35x = 129,326,932.40
  5. Step 5: Solve for x
    x = 129,326,932.40/13,114.35
  6. Step 6: Final answer
    x = 9,861.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.