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Finding the Fourth Proportional to 7,101.41, 9,799.99 and 3,957.80

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Solution

The fourth proportional to 7,101.41, 9,799.99 and 3,957.80 is: 5,461.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.41 : 9,799.99 = 3,957.80 : x
  2. Step 2: Convert to fraction form
    7,101.41/9,799.99 = 3,957.80/x
  3. Step 3: Cross multiply
    7,101.41x = 9,799.99 × 3,957.80
  4. Step 4: Simplify right side
    7,101.41x = 38,786,341.53
  5. Step 5: Solve for x
    x = 38,786,341.53/7,101.41
  6. Step 6: Final answer
    x = 5,461.78

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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.