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Finding the Fourth Proportional to 4,642.78, 6,956.06 and 3,867.77

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Solution

The fourth proportional to 4,642.78, 6,956.06 and 3,867.77 is: 5,794.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.78 : 6,956.06 = 3,867.77 : x
  2. Step 2: Convert to fraction form
    4,642.78/6,956.06 = 3,867.77/x
  3. Step 3: Cross multiply
    4,642.78x = 6,956.06 × 3,867.77
  4. Step 4: Simplify right side
    4,642.78x = 26,904,386.07
  5. Step 5: Solve for x
    x = 26,904,386.07/4,642.78
  6. Step 6: Final answer
    x = 5,794.89

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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.