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Finding the Fourth Proportional to 5,697.45, 7,757.01 and 5,679.90

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Solution

The fourth proportional to 5,697.45, 7,757.01 and 5,679.90 is: 7,733.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.45 : 7,757.01 = 5,679.90 : x
  2. Step 2: Convert to fraction form
    5,697.45/7,757.01 = 5,679.90/x
  3. Step 3: Cross multiply
    5,697.45x = 7,757.01 × 5,679.90
  4. Step 4: Simplify right side
    5,697.45x = 44,059,041.10
  5. Step 5: Solve for x
    x = 44,059,041.10/5,697.45
  6. Step 6: Final answer
    x = 7,733.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.