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Finding the Fourth Proportional to 7,101.22, 9,799.06 and 3,957.70

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Solution

The fourth proportional to 7,101.22, 9,799.06 and 3,957.70 is: 5,461.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.22 : 9,799.06 = 3,957.70 : x
  2. Step 2: Convert to fraction form
    7,101.22/9,799.06 = 3,957.70/x
  3. Step 3: Cross multiply
    7,101.22x = 9,799.06 × 3,957.70
  4. Step 4: Simplify right side
    7,101.22x = 38,781,739.76
  5. Step 5: Solve for x
    x = 38,781,739.76/7,101.22
  6. Step 6: Final answer
    x = 5,461.28

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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.