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Finding the Fourth Proportional to 7,221.48, 9,966.31 and 4,388.20

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Solution

The fourth proportional to 7,221.48, 9,966.31 and 4,388.20 is: 6,056.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.48 : 9,966.31 = 4,388.20 : x
  2. Step 2: Convert to fraction form
    7,221.48/9,966.31 = 4,388.20/x
  3. Step 3: Cross multiply
    7,221.48x = 9,966.31 × 4,388.20
  4. Step 4: Simplify right side
    7,221.48x = 43,734,125.66
  5. Step 5: Solve for x
    x = 43,734,125.66/7,221.48
  6. Step 6: Final answer
    x = 6,056.12

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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.