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Finding the Fourth Proportional to 7,878.64, 11,818.18 and 2,035.26

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Solution

The fourth proportional to 7,878.64, 11,818.18 and 2,035.26 is: 3,052.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.64 : 11,818.18 = 2,035.26 : x
  2. Step 2: Convert to fraction form
    7,878.64/11,818.18 = 2,035.26/x
  3. Step 3: Cross multiply
    7,878.64x = 11,818.18 × 2,035.26
  4. Step 4: Simplify right side
    7,878.64x = 24,053,069.03
  5. Step 5: Solve for x
    x = 24,053,069.03/7,878.64
  6. Step 6: Final answer
    x = 3,052.95

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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.