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Finding the Fourth Proportional to 7,807.97, 11,706.47 and 2,876.96

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Solution

The fourth proportional to 7,807.97, 11,706.47 and 2,876.96 is: 4,313.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.97 : 11,706.47 = 2,876.96 : x
  2. Step 2: Convert to fraction form
    7,807.97/11,706.47 = 2,876.96/x
  3. Step 3: Cross multiply
    7,807.97x = 11,706.47 × 2,876.96
  4. Step 4: Simplify right side
    7,807.97x = 33,678,973.01
  5. Step 5: Solve for x
    x = 33,678,973.01/7,807.97
  6. Step 6: Final answer
    x = 4,313.41

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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.