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Finding the Fourth Proportional to 7,083, 9,773.88 and 3,939.12

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Solution

The fourth proportional to 7,083, 9,773.88 and 3,939.12 is: 5,435.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083 : 9,773.88 = 3,939.12 : x
  2. Step 2: Convert to fraction form
    7,083/9,773.88 = 3,939.12/x
  3. Step 3: Cross multiply
    7,083x = 9,773.88 × 3,939.12
  4. Step 4: Simplify right side
    7,083x = 38,500,486.19
  5. Step 5: Solve for x
    x = 38,500,486.19/7,083
  6. Step 6: Final answer
    x = 5,435.62

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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.