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Finding the Fourth Proportional to 7,853.78, 11,775.18 and 3,956.06

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Solution

The fourth proportional to 7,853.78, 11,775.18 and 3,956.06 is: 5,931.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.78 : 11,775.18 = 3,956.06 : x
  2. Step 2: Convert to fraction form
    7,853.78/11,775.18 = 3,956.06/x
  3. Step 3: Cross multiply
    7,853.78x = 11,775.18 × 3,956.06
  4. Step 4: Simplify right side
    7,853.78x = 46,583,318.59
  5. Step 5: Solve for x
    x = 46,583,318.59/7,853.78
  6. Step 6: Final answer
    x = 5,931.32

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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.