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Finding the Fourth Proportional to 3,883.70, 5,825.10 and 1,110.80

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Solution

The fourth proportional to 3,883.70, 5,825.10 and 1,110.80 is: 1,666.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.70 : 5,825.10 = 1,110.80 : x
  2. Step 2: Convert to fraction form
    3,883.70/5,825.10 = 1,110.80/x
  3. Step 3: Cross multiply
    3,883.70x = 5,825.10 × 1,110.80
  4. Step 4: Simplify right side
    3,883.70x = 6,470,521.08
  5. Step 5: Solve for x
    x = 6,470,521.08/3,883.70
  6. Step 6: Final answer
    x = 1,666.07

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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.