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Finding the Fourth Proportional to 5,176.89, 7,126.64 and 4,678

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Solution

The fourth proportional to 5,176.89, 7,126.64 and 4,678 is: 6,439.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.89 : 7,126.64 = 4,678 : x
  2. Step 2: Convert to fraction form
    5,176.89/7,126.64 = 4,678/x
  3. Step 3: Cross multiply
    5,176.89x = 7,126.64 × 4,678
  4. Step 4: Simplify right side
    5,176.89x = 33,338,421.92
  5. Step 5: Solve for x
    x = 33,338,421.92/5,176.89
  6. Step 6: Final answer
    x = 6,439.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.