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Finding the Fourth Proportional to 7,203.85, 9,939.03 and 5,686.62

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Solution

The fourth proportional to 7,203.85, 9,939.03 and 5,686.62 is: 7,845.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,203.85 : 9,939.03 = 5,686.62 : x
  2. Step 2: Convert to fraction form
    7,203.85/9,939.03 = 5,686.62/x
  3. Step 3: Cross multiply
    7,203.85x = 9,939.03 × 5,686.62
  4. Step 4: Simplify right side
    7,203.85x = 56,519,428.18
  5. Step 5: Solve for x
    x = 56,519,428.18/7,203.85
  6. Step 6: Final answer
    x = 7,845.73

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1.5x scale

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.