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Finding the Fourth Proportional to 7,878.76, 11,811.76 and 2,947.69

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Solution

The fourth proportional to 7,878.76, 11,811.76 and 2,947.69 is: 4,419.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.76 : 11,811.76 = 2,947.69 : x
  2. Step 2: Convert to fraction form
    7,878.76/11,811.76 = 2,947.69/x
  3. Step 3: Cross multiply
    7,878.76x = 11,811.76 × 2,947.69
  4. Step 4: Simplify right side
    7,878.76x = 34,817,406.83
  5. Step 5: Solve for x
    x = 34,817,406.83/7,878.76
  6. Step 6: Final answer
    x = 4,419.15

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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.