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Finding the Fourth Proportional to 4,926.34, 7,392.39 and 2,978.74

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Solution

The fourth proportional to 4,926.34, 7,392.39 and 2,978.74 is: 4,469.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,926.34 : 7,392.39 = 2,978.74 : x
  2. Step 2: Convert to fraction form
    4,926.34/7,392.39 = 2,978.74/x
  3. Step 3: Cross multiply
    4,926.34x = 7,392.39 × 2,978.74
  4. Step 4: Simplify right side
    4,926.34x = 22,020,007.79
  5. Step 5: Solve for x
    x = 22,020,007.79/4,926.34
  6. Step 6: Final answer
    x = 4,469.85

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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.