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Finding the Fourth Proportional to 7,807.81, 11,711.73 and 1,964.43

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Solution

The fourth proportional to 7,807.81, 11,711.73 and 1,964.43 is: 2,946.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.81 : 11,711.73 = 1,964.43 : x
  2. Step 2: Convert to fraction form
    7,807.81/11,711.73 = 1,964.43/x
  3. Step 3: Cross multiply
    7,807.81x = 11,711.73 × 1,964.43
  4. Step 4: Simplify right side
    7,807.81x = 23,006,873.76
  5. Step 5: Solve for x
    x = 23,006,873.76/7,807.81
  6. Step 6: Final answer
    x = 2,946.65

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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.