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Finding the Fourth Proportional to 9,146.76, 13,719.84 and 3,878.38

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Solution

The fourth proportional to 9,146.76, 13,719.84 and 3,878.38 is: 5,817.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.76 : 13,719.84 = 3,878.38 : x
  2. Step 2: Convert to fraction form
    9,146.76/13,719.84 = 3,878.38/x
  3. Step 3: Cross multiply
    9,146.76x = 13,719.84 × 3,878.38
  4. Step 4: Simplify right side
    9,146.76x = 53,210,753.06
  5. Step 5: Solve for x
    x = 53,210,753.06/9,146.76
  6. Step 6: Final answer
    x = 5,817.44

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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.