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Finding the Fourth Proportional to 7,886.87, 11,829.84 and 2,956.10

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Solution

The fourth proportional to 7,886.87, 11,829.84 and 2,956.10 is: 4,433.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.87 : 11,829.84 = 2,956.10 : x
  2. Step 2: Convert to fraction form
    7,886.87/11,829.84 = 2,956.10/x
  3. Step 3: Cross multiply
    7,886.87x = 11,829.84 × 2,956.10
  4. Step 4: Simplify right side
    7,886.87x = 34,970,130.87
  5. Step 5: Solve for x
    x = 34,970,130.87/7,886.87
  6. Step 6: Final answer
    x = 4,433.97

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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.