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Finding the Fourth Proportional to 7,807.05, 11,715.15 and 2,880.12

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Solution

The fourth proportional to 7,807.05, 11,715.15 and 2,880.12 is: 4,321.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.05 : 11,715.15 = 2,880.12 : x
  2. Step 2: Convert to fraction form
    7,807.05/11,715.15 = 2,880.12/x
  3. Step 3: Cross multiply
    7,807.05x = 11,715.15 × 2,880.12
  4. Step 4: Simplify right side
    7,807.05x = 33,741,037.82
  5. Step 5: Solve for x
    x = 33,741,037.82/7,807.05
  6. Step 6: Final answer
    x = 4,321.87

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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.