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Finding the Fourth Proportional to 7,787.70, 11,674.53 and 2,853.90

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Solution

The fourth proportional to 7,787.70, 11,674.53 and 2,853.90 is: 4,278.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.70 : 11,674.53 = 2,853.90 : x
  2. Step 2: Convert to fraction form
    7,787.70/11,674.53 = 2,853.90/x
  3. Step 3: Cross multiply
    7,787.70x = 11,674.53 × 2,853.90
  4. Step 4: Simplify right side
    7,787.70x = 33,317,941.17
  5. Step 5: Solve for x
    x = 33,317,941.17/7,787.70
  6. Step 6: Final answer
    x = 4,278.28

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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.