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Finding the Fourth Proportional to 5,659.99, 7,811.01 and 3,421.44

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Solution

The fourth proportional to 5,659.99, 7,811.01 and 3,421.44 is: 4,721.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.99 : 7,811.01 = 3,421.44 : x
  2. Step 2: Convert to fraction form
    5,659.99/7,811.01 = 3,421.44/x
  3. Step 3: Cross multiply
    5,659.99x = 7,811.01 × 3,421.44
  4. Step 4: Simplify right side
    5,659.99x = 26,724,902.05
  5. Step 5: Solve for x
    x = 26,724,902.05/5,659.99
  6. Step 6: Final answer
    x = 4,721.72

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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.