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Finding the Fourth Proportional to 7,811.87, 11,709.59 and 2,878.35

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Solution

The fourth proportional to 7,811.87, 11,709.59 and 2,878.35 is: 4,314.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.87 : 11,709.59 = 2,878.35 : x
  2. Step 2: Convert to fraction form
    7,811.87/11,709.59 = 2,878.35/x
  3. Step 3: Cross multiply
    7,811.87x = 11,709.59 × 2,878.35
  4. Step 4: Simplify right side
    7,811.87x = 33,704,283.98
  5. Step 5: Solve for x
    x = 33,704,283.98/7,811.87
  6. Step 6: Final answer
    x = 4,314.50

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1.5x scale

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.