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Finding the Fourth Proportional to 3,775.56, 5,665.44 and 1,585.80

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Solution

The fourth proportional to 3,775.56, 5,665.44 and 1,585.80 is: 2,379.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.56 : 5,665.44 = 1,585.80 : x
  2. Step 2: Convert to fraction form
    3,775.56/5,665.44 = 1,585.80/x
  3. Step 3: Cross multiply
    3,775.56x = 5,665.44 × 1,585.80
  4. Step 4: Simplify right side
    3,775.56x = 8,984,254.75
  5. Step 5: Solve for x
    x = 8,984,254.75/3,775.56
  6. Step 6: Final answer
    x = 2,379.58

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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.