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Finding the Fourth Proportional to 6,695.28, 9,239.64 and 3,899.76

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Solution

The fourth proportional to 6,695.28, 9,239.64 and 3,899.76 is: 5,381.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.28 : 9,239.64 = 3,899.76 : x
  2. Step 2: Convert to fraction form
    6,695.28/9,239.64 = 3,899.76/x
  3. Step 3: Cross multiply
    6,695.28x = 9,239.64 × 3,899.76
  4. Step 4: Simplify right side
    6,695.28x = 36,032,378.49
  5. Step 5: Solve for x
    x = 36,032,378.49/6,695.28
  6. Step 6: Final answer
    x = 5,381.76

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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.