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Finding the Fourth Proportional to 7,886.30, 11,827.64 and 2,338.31

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Solution

The fourth proportional to 7,886.30, 11,827.64 and 2,338.31 is: 3,506.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.30 : 11,827.64 = 2,338.31 : x
  2. Step 2: Convert to fraction form
    7,886.30/11,827.64 = 2,338.31/x
  3. Step 3: Cross multiply
    7,886.30x = 11,827.64 × 2,338.31
  4. Step 4: Simplify right side
    7,886.30x = 27,656,706.77
  5. Step 5: Solve for x
    x = 27,656,706.77/7,886.30
  6. Step 6: Final answer
    x = 3,506.93

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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.