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Finding the Fourth Proportional to 7,866.94, 11,802.14 and 3,425.31

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Solution

The fourth proportional to 7,866.94, 11,802.14 and 3,425.31 is: 5,138.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.94 : 11,802.14 = 3,425.31 : x
  2. Step 2: Convert to fraction form
    7,866.94/11,802.14 = 3,425.31/x
  3. Step 3: Cross multiply
    7,866.94x = 11,802.14 × 3,425.31
  4. Step 4: Simplify right side
    7,866.94x = 40,426,017.08
  5. Step 5: Solve for x
    x = 40,426,017.08/7,866.94
  6. Step 6: Final answer
    x = 5,138.72

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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.