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Finding the Fourth Proportional to 5,158.35, 7,738.08 and 1,694.79

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Solution

The fourth proportional to 5,158.35, 7,738.08 and 1,694.79 is: 2,542.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.35 : 7,738.08 = 1,694.79 : x
  2. Step 2: Convert to fraction form
    5,158.35/7,738.08 = 1,694.79/x
  3. Step 3: Cross multiply
    5,158.35x = 7,738.08 × 1,694.79
  4. Step 4: Simplify right side
    5,158.35x = 13,114,420.60
  5. Step 5: Solve for x
    x = 13,114,420.60/5,158.35
  6. Step 6: Final answer
    x = 2,542.37

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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.