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Finding the Fourth Proportional to 7,221.91, 9,966.09 and 4,078.03

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Solution

The fourth proportional to 7,221.91, 9,966.09 and 4,078.03 is: 5,627.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.91 : 9,966.09 = 4,078.03 : x
  2. Step 2: Convert to fraction form
    7,221.91/9,966.09 = 4,078.03/x
  3. Step 3: Cross multiply
    7,221.91x = 9,966.09 × 4,078.03
  4. Step 4: Simplify right side
    7,221.91x = 40,642,014.00
  5. Step 5: Solve for x
    x = 40,642,014.00/7,221.91
  6. Step 6: Final answer
    x = 5,627.60

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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.