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Finding the Fourth Proportional to 6,161.58, 9,242.40 and 4,923.20

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Solution

The fourth proportional to 6,161.58, 9,242.40 and 4,923.20 is: 7,384.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.58 : 9,242.40 = 4,923.20 : x
  2. Step 2: Convert to fraction form
    6,161.58/9,242.40 = 4,923.20/x
  3. Step 3: Cross multiply
    6,161.58x = 9,242.40 × 4,923.20
  4. Step 4: Simplify right side
    6,161.58x = 45,502,183.68
  5. Step 5: Solve for x
    x = 45,502,183.68/6,161.58
  6. Step 6: Final answer
    x = 7,384.82

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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.