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Finding the Fourth Proportional to 6,997.76, 9,657 and 3,854.18

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Solution

The fourth proportional to 6,997.76, 9,657 and 3,854.18 is: 5,318.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.76 : 9,657 = 3,854.18 : x
  2. Step 2: Convert to fraction form
    6,997.76/9,657 = 3,854.18/x
  3. Step 3: Cross multiply
    6,997.76x = 9,657 × 3,854.18
  4. Step 4: Simplify right side
    6,997.76x = 37,219,816.26
  5. Step 5: Solve for x
    x = 37,219,816.26/6,997.76
  6. Step 6: Final answer
    x = 5,318.82

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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.