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Finding the Fourth Proportional to 6,896.64, 10,344.84 and 1,966.32

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Solution

The fourth proportional to 6,896.64, 10,344.84 and 1,966.32 is: 2,949.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.64 : 10,344.84 = 1,966.32 : x
  2. Step 2: Convert to fraction form
    6,896.64/10,344.84 = 1,966.32/x
  3. Step 3: Cross multiply
    6,896.64x = 10,344.84 × 1,966.32
  4. Step 4: Simplify right side
    6,896.64x = 20,341,265.79
  5. Step 5: Solve for x
    x = 20,341,265.79/6,896.64
  6. Step 6: Final answer
    x = 2,949.45

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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.