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Finding the Fourth Proportional to 7,221.93, 9,966.29 and 4,078.05

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Solution

The fourth proportional to 7,221.93, 9,966.29 and 4,078.05 is: 5,627.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.93 : 9,966.29 = 4,078.05 : x
  2. Step 2: Convert to fraction form
    7,221.93/9,966.29 = 4,078.05/x
  3. Step 3: Cross multiply
    7,221.93x = 9,966.29 × 4,078.05
  4. Step 4: Simplify right side
    7,221.93x = 40,643,008.54
  5. Step 5: Solve for x
    x = 40,643,008.54/7,221.93
  6. Step 6: Final answer
    x = 5,627.72

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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.