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Finding the Fourth Proportional to 6,695.61, 9,239.70 and 3,711.72

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Solution

The fourth proportional to 6,695.61, 9,239.70 and 3,711.72 is: 5,122.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.61 : 9,239.70 = 3,711.72 : x
  2. Step 2: Convert to fraction form
    6,695.61/9,239.70 = 3,711.72/x
  3. Step 3: Cross multiply
    6,695.61x = 9,239.70 × 3,711.72
  4. Step 4: Simplify right side
    6,695.61x = 34,295,179.28
  5. Step 5: Solve for x
    x = 34,295,179.28/6,695.61
  6. Step 6: Final answer
    x = 5,122.04

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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.