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Finding the Fourth Proportional to 3,782.88, 5,674.19 and 1,442.79

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Solution

The fourth proportional to 3,782.88, 5,674.19 and 1,442.79 is: 2,164.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.88 : 5,674.19 = 1,442.79 : x
  2. Step 2: Convert to fraction form
    3,782.88/5,674.19 = 1,442.79/x
  3. Step 3: Cross multiply
    3,782.88x = 5,674.19 × 1,442.79
  4. Step 4: Simplify right side
    3,782.88x = 8,186,657.38
  5. Step 5: Solve for x
    x = 8,186,657.38/3,782.88
  6. Step 6: Final answer
    x = 2,164.13

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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.