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Finding the Fourth Proportional to 5,158.98, 7,738.46 and 1,649.34

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Solution

The fourth proportional to 5,158.98, 7,738.46 and 1,649.34 is: 2,474.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.98 : 7,738.46 = 1,649.34 : x
  2. Step 2: Convert to fraction form
    5,158.98/7,738.46 = 1,649.34/x
  3. Step 3: Cross multiply
    5,158.98x = 7,738.46 × 1,649.34
  4. Step 4: Simplify right side
    5,158.98x = 12,763,343.37
  5. Step 5: Solve for x
    x = 12,763,343.37/5,158.98
  6. Step 6: Final answer
    x = 2,474.01

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Similar ratio
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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.