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Finding the Fourth Proportional to 6,646.96, 9,963.90 and 2,754.64

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Solution

The fourth proportional to 6,646.96, 9,963.90 and 2,754.64 is: 4,129.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.96 : 9,963.90 = 2,754.64 : x
  2. Step 2: Convert to fraction form
    6,646.96/9,963.90 = 2,754.64/x
  3. Step 3: Cross multiply
    6,646.96x = 9,963.90 × 2,754.64
  4. Step 4: Simplify right side
    6,646.96x = 27,446,957.50
  5. Step 5: Solve for x
    x = 27,446,957.50/6,646.96
  6. Step 6: Final answer
    x = 4,129.25

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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.