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Finding the Fourth Proportional to 7,956.51, 11,934.78 and 2,762.40

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Solution

The fourth proportional to 7,956.51, 11,934.78 and 2,762.40 is: 4,143.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,956.51 : 11,934.78 = 2,762.40 : x
  2. Step 2: Convert to fraction form
    7,956.51/11,934.78 = 2,762.40/x
  3. Step 3: Cross multiply
    7,956.51x = 11,934.78 × 2,762.40
  4. Step 4: Simplify right side
    7,956.51x = 32,968,636.27
  5. Step 5: Solve for x
    x = 32,968,636.27/7,956.51
  6. Step 6: Final answer
    x = 4,143.61

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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.