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Finding the Fourth Proportional to 7,956.34, 11,940 and 2,762.21

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Solution

The fourth proportional to 7,956.34, 11,940 and 2,762.21 is: 4,145.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,956.34 : 11,940 = 2,762.21 : x
  2. Step 2: Convert to fraction form
    7,956.34/11,940 = 2,762.21/x
  3. Step 3: Cross multiply
    7,956.34x = 11,940 × 2,762.21
  4. Step 4: Simplify right side
    7,956.34x = 32,980,787.40
  5. Step 5: Solve for x
    x = 32,980,787.40/7,956.34
  6. Step 6: Final answer
    x = 4,145.22

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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.