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Finding the Fourth Proportional to 7,807.94, 11,711.81 and 1,884.78

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Solution

The fourth proportional to 7,807.94, 11,711.81 and 1,884.78 is: 2,827.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.94 : 11,711.81 = 1,884.78 : x
  2. Step 2: Convert to fraction form
    7,807.94/11,711.81 = 1,884.78/x
  3. Step 3: Cross multiply
    7,807.94x = 11,711.81 × 1,884.78
  4. Step 4: Simplify right side
    7,807.94x = 22,074,185.25
  5. Step 5: Solve for x
    x = 22,074,185.25/7,807.94
  6. Step 6: Final answer
    x = 2,827.15

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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.