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Finding the Fourth Proportional to 6,964.32, 9,610.80 and 3,777.64

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Solution

The fourth proportional to 6,964.32, 9,610.80 and 3,777.64 is: 5,213.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.32 : 9,610.80 = 3,777.64 : x
  2. Step 2: Convert to fraction form
    6,964.32/9,610.80 = 3,777.64/x
  3. Step 3: Cross multiply
    6,964.32x = 9,610.80 × 3,777.64
  4. Step 4: Simplify right side
    6,964.32x = 36,306,142.51
  5. Step 5: Solve for x
    x = 36,306,142.51/6,964.32
  6. Step 6: Final answer
    x = 5,213.16

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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.