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Finding the Fourth Proportional to 7,201.55, 9,939.98 and 4,689.92

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Solution

The fourth proportional to 7,201.55, 9,939.98 and 4,689.92 is: 6,473.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.55 : 9,939.98 = 4,689.92 : x
  2. Step 2: Convert to fraction form
    7,201.55/9,939.98 = 4,689.92/x
  3. Step 3: Cross multiply
    7,201.55x = 9,939.98 × 4,689.92
  4. Step 4: Simplify right side
    7,201.55x = 46,617,673.03
  5. Step 5: Solve for x
    x = 46,617,673.03/7,201.55
  6. Step 6: Final answer
    x = 6,473.29

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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.