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Finding the Fourth Proportional to 7,878.72, 11,818.08 and 2,686.08

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Solution

The fourth proportional to 7,878.72, 11,818.08 and 2,686.08 is: 4,029.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.72 : 11,818.08 = 2,686.08 : x
  2. Step 2: Convert to fraction form
    7,878.72/11,818.08 = 2,686.08/x
  3. Step 3: Cross multiply
    7,878.72x = 11,818.08 × 2,686.08
  4. Step 4: Simplify right side
    7,878.72x = 31,744,308.33
  5. Step 5: Solve for x
    x = 31,744,308.33/7,878.72
  6. Step 6: Final answer
    x = 4,029.12

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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.