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Finding the Fourth Proportional to 7,963.21, 10,964.12 and 7,225.09

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Solution

The fourth proportional to 7,963.21, 10,964.12 and 7,225.09 is: 9,947.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.21 : 10,964.12 = 7,225.09 : x
  2. Step 2: Convert to fraction form
    7,963.21/10,964.12 = 7,225.09/x
  3. Step 3: Cross multiply
    7,963.21x = 10,964.12 × 7,225.09
  4. Step 4: Simplify right side
    7,963.21x = 79,216,753.77
  5. Step 5: Solve for x
    x = 79,216,753.77/7,963.21
  6. Step 6: Final answer
    x = 9,947.85

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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.