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Finding the Fourth Proportional to 7,878.75, 11,820.06 and 2,406.75

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Solution

The fourth proportional to 7,878.75, 11,820.06 and 2,406.75 is: 3,610.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.75 : 11,820.06 = 2,406.75 : x
  2. Step 2: Convert to fraction form
    7,878.75/11,820.06 = 2,406.75/x
  3. Step 3: Cross multiply
    7,878.75x = 11,820.06 × 2,406.75
  4. Step 4: Simplify right side
    7,878.75x = 28,447,929.41
  5. Step 5: Solve for x
    x = 28,447,929.41/7,878.75
  6. Step 6: Final answer
    x = 3,610.72

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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.