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Finding the Fourth Proportional to 5,162.66, 7,744.86 and 2,388.20

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Solution

The fourth proportional to 5,162.66, 7,744.86 and 2,388.20 is: 3,582.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.66 : 7,744.86 = 2,388.20 : x
  2. Step 2: Convert to fraction form
    5,162.66/7,744.86 = 2,388.20/x
  3. Step 3: Cross multiply
    5,162.66x = 7,744.86 × 2,388.20
  4. Step 4: Simplify right side
    5,162.66x = 18,496,274.65
  5. Step 5: Solve for x
    x = 18,496,274.65/5,162.66
  6. Step 6: Final answer
    x = 3,582.70

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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.