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Finding the Fourth Proportional to 7,050.88, 9,730.38 and 3,907

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Solution

The fourth proportional to 7,050.88, 9,730.38 and 3,907 is: 5,391.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,050.88 : 9,730.38 = 3,907 : x
  2. Step 2: Convert to fraction form
    7,050.88/9,730.38 = 3,907/x
  3. Step 3: Cross multiply
    7,050.88x = 9,730.38 × 3,907
  4. Step 4: Simplify right side
    7,050.88x = 38,016,594.66
  5. Step 5: Solve for x
    x = 38,016,594.66/7,050.88
  6. Step 6: Final answer
    x = 5,391.75

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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.