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Finding the Fourth Proportional to 5,209.89, 7,807.01 and 2,086.80

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Solution

The fourth proportional to 5,209.89, 7,807.01 and 2,086.80 is: 3,127.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.89 : 7,807.01 = 2,086.80 : x
  2. Step 2: Convert to fraction form
    5,209.89/7,807.01 = 2,086.80/x
  3. Step 3: Cross multiply
    5,209.89x = 7,807.01 × 2,086.80
  4. Step 4: Simplify right side
    5,209.89x = 16,291,658.03
  5. Step 5: Solve for x
    x = 16,291,658.03/5,209.89
  6. Step 6: Final answer
    x = 3,127.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.