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Finding the Fourth Proportional to 7,221.97, 9,964.65 and 4,237.66

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Solution

The fourth proportional to 7,221.97, 9,964.65 and 4,237.66 is: 5,846.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.97 : 9,964.65 = 4,237.66 : x
  2. Step 2: Convert to fraction form
    7,221.97/9,964.65 = 4,237.66/x
  3. Step 3: Cross multiply
    7,221.97x = 9,964.65 × 4,237.66
  4. Step 4: Simplify right side
    7,221.97x = 42,226,798.72
  5. Step 5: Solve for x
    x = 42,226,798.72/7,221.97
  6. Step 6: Final answer
    x = 5,846.99

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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.