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Finding the Fourth Proportional to 3,779.70, 5,669.55 and 1,832.10

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Solution

The fourth proportional to 3,779.70, 5,669.55 and 1,832.10 is: 2,748.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.70 : 5,669.55 = 1,832.10 : x
  2. Step 2: Convert to fraction form
    3,779.70/5,669.55 = 1,832.10/x
  3. Step 3: Cross multiply
    3,779.70x = 5,669.55 × 1,832.10
  4. Step 4: Simplify right side
    3,779.70x = 10,387,182.56
  5. Step 5: Solve for x
    x = 10,387,182.56/3,779.70
  6. Step 6: Final answer
    x = 2,748.15

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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.