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Finding the Fourth Proportional to 6,782.76, 10,174.32 and 2,165.76

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Solution

The fourth proportional to 6,782.76, 10,174.32 and 2,165.76 is: 3,248.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.76 : 10,174.32 = 2,165.76 : x
  2. Step 2: Convert to fraction form
    6,782.76/10,174.32 = 2,165.76/x
  3. Step 3: Cross multiply
    6,782.76x = 10,174.32 × 2,165.76
  4. Step 4: Simplify right side
    6,782.76x = 22,035,135.28
  5. Step 5: Solve for x
    x = 22,035,135.28/6,782.76
  6. Step 6: Final answer
    x = 3,248.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.