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Finding the Fourth Proportional to 7,220.85, 9,964.65 and 4,034.21

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Solution

The fourth proportional to 7,220.85, 9,964.65 and 4,034.21 is: 5,567.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,220.85 : 9,964.65 = 4,034.21 : x
  2. Step 2: Convert to fraction form
    7,220.85/9,964.65 = 4,034.21/x
  3. Step 3: Cross multiply
    7,220.85x = 9,964.65 × 4,034.21
  4. Step 4: Simplify right side
    7,220.85x = 40,199,455.98
  5. Step 5: Solve for x
    x = 40,199,455.98/7,220.85
  6. Step 6: Final answer
    x = 5,567.14

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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.