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Finding the Fourth Proportional to 5,429.26, 7,478.97 and 4,629.98

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Solution

The fourth proportional to 5,429.26, 7,478.97 and 4,629.98 is: 6,377.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,429.26 : 7,478.97 = 4,629.98 : x
  2. Step 2: Convert to fraction form
    5,429.26/7,478.97 = 4,629.98/x
  3. Step 3: Cross multiply
    5,429.26x = 7,478.97 × 4,629.98
  4. Step 4: Simplify right side
    5,429.26x = 34,627,420.98
  5. Step 5: Solve for x
    x = 34,627,420.98/5,429.26
  6. Step 6: Final answer
    x = 6,377.93

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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.