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Finding the Fourth Proportional to 7,221.10, 9,965.82 and 4,387.86

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Solution

The fourth proportional to 7,221.10, 9,965.82 and 4,387.86 is: 6,055.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.10 : 9,965.82 = 4,387.86 : x
  2. Step 2: Convert to fraction form
    7,221.10/9,965.82 = 4,387.86/x
  3. Step 3: Cross multiply
    7,221.10x = 9,965.82 × 4,387.86
  4. Step 4: Simplify right side
    7,221.10x = 43,728,622.95
  5. Step 5: Solve for x
    x = 43,728,622.95/7,221.10
  6. Step 6: Final answer
    x = 6,055.67

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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.