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Finding the Fourth Proportional to 10,463.44, 14,425.44 and 8,964.88

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Solution

The fourth proportional to 10,463.44, 14,425.44 and 8,964.88 is: 12,359.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.44 : 14,425.44 = 8,964.88 : x
  2. Step 2: Convert to fraction form
    10,463.44/14,425.44 = 8,964.88/x
  3. Step 3: Cross multiply
    10,463.44x = 14,425.44 × 8,964.88
  4. Step 4: Simplify right side
    10,463.44x = 129,322,338.55
  5. Step 5: Solve for x
    x = 129,322,338.55/10,463.44
  6. Step 6: Final answer
    x = 12,359.45

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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.