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Finding the Fourth Proportional to 7,223.71, 9,964.65 and 4,238.96

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Solution

The fourth proportional to 7,223.71, 9,964.65 and 4,238.96 is: 5,847.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.71 : 9,964.65 = 4,238.96 : x
  2. Step 2: Convert to fraction form
    7,223.71/9,964.65 = 4,238.96/x
  3. Step 3: Cross multiply
    7,223.71x = 9,964.65 × 4,238.96
  4. Step 4: Simplify right side
    7,223.71x = 42,239,800.98
  5. Step 5: Solve for x
    x = 42,239,800.98/7,223.71
  6. Step 6: Final answer
    x = 5,847.39

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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.