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Finding the Fourth Proportional to 11,386, 17,081.88 and 3,178

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Solution

The fourth proportional to 11,386, 17,081.88 and 3,178 is: 4,767.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,386 : 17,081.88 = 3,178 : x
  2. Step 2: Convert to fraction form
    11,386/17,081.88 = 3,178/x
  3. Step 3: Cross multiply
    11,386x = 17,081.88 × 3,178
  4. Step 4: Simplify right side
    11,386x = 54,286,214.64
  5. Step 5: Solve for x
    x = 54,286,214.64/11,386
  6. Step 6: Final answer
    x = 4,767.80

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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.