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Finding the Fourth Proportional to 5,659.23, 7,809.94 and 3,420.67

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Solution

The fourth proportional to 5,659.23, 7,809.94 and 3,420.67 is: 4,720.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.23 : 7,809.94 = 3,420.67 : x
  2. Step 2: Convert to fraction form
    5,659.23/7,809.94 = 3,420.67/x
  3. Step 3: Cross multiply
    5,659.23x = 7,809.94 × 3,420.67
  4. Step 4: Simplify right side
    5,659.23x = 26,715,199.38
  5. Step 5: Solve for x
    x = 26,715,199.38/5,659.23
  6. Step 6: Final answer
    x = 4,720.64

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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.