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Finding the Fourth Proportional to 5,209.21, 7,189.21 and 2,851.71

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Solution

The fourth proportional to 5,209.21, 7,189.21 and 2,851.71 is: 3,935.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.21 : 7,189.21 = 2,851.71 : x
  2. Step 2: Convert to fraction form
    5,209.21/7,189.21 = 2,851.71/x
  3. Step 3: Cross multiply
    5,209.21x = 7,189.21 × 2,851.71
  4. Step 4: Simplify right side
    5,209.21x = 20,501,502.61
  5. Step 5: Solve for x
    x = 20,501,502.61/5,209.21
  6. Step 6: Final answer
    x = 3,935.63

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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.