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Finding the Fourth Proportional to 7,860.03, 11,787.03 and 3,178.41

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Solution

The fourth proportional to 7,860.03, 11,787.03 and 3,178.41 is: 4,766.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.03 : 11,787.03 = 3,178.41 : x
  2. Step 2: Convert to fraction form
    7,860.03/11,787.03 = 3,178.41/x
  3. Step 3: Cross multiply
    7,860.03x = 11,787.03 × 3,178.41
  4. Step 4: Simplify right side
    7,860.03x = 37,464,014.02
  5. Step 5: Solve for x
    x = 37,464,014.02/7,860.03
  6. Step 6: Final answer
    x = 4,766.40

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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.