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Finding the Fourth Proportional to 7,878.11, 11,815.10 and 3,717.02

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Solution

The fourth proportional to 7,878.11, 11,815.10 and 3,717.02 is: 5,574.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.11 : 11,815.10 = 3,717.02 : x
  2. Step 2: Convert to fraction form
    7,878.11/11,815.10 = 3,717.02/x
  3. Step 3: Cross multiply
    7,878.11x = 11,815.10 × 3,717.02
  4. Step 4: Simplify right side
    7,878.11x = 43,916,885.34
  5. Step 5: Solve for x
    x = 43,916,885.34/7,878.11
  6. Step 6: Final answer
    x = 5,574.55

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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.