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Finding the Fourth Proportional to 6,909.64, 9,535.22 and 4,077

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Solution

The fourth proportional to 6,909.64, 9,535.22 and 4,077 is: 5,626.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.64 : 9,535.22 = 4,077 : x
  2. Step 2: Convert to fraction form
    6,909.64/9,535.22 = 4,077/x
  3. Step 3: Cross multiply
    6,909.64x = 9,535.22 × 4,077
  4. Step 4: Simplify right side
    6,909.64x = 38,875,086.84
  5. Step 5: Solve for x
    x = 38,875,086.84/6,909.64
  6. Step 6: Final answer
    x = 5,626.21

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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.