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Finding the Fourth Proportional to 11,114, 15,337.80 and 6,146

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Solution

The fourth proportional to 11,114, 15,337.80 and 6,146 is: 8,481.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,114 : 15,337.80 = 6,146 : x
  2. Step 2: Convert to fraction form
    11,114/15,337.80 = 6,146/x
  3. Step 3: Cross multiply
    11,114x = 15,337.80 × 6,146
  4. Step 4: Simplify right side
    11,114x = 94,266,118.80
  5. Step 5: Solve for x
    x = 94,266,118.80/11,114
  6. Step 6: Final answer
    x = 8,481.75

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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.