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Finding the Fourth Proportional to 2,779.96, 3,836.10 and 1,731.64

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Solution

The fourth proportional to 2,779.96, 3,836.10 and 1,731.64 is: 2,389.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.96 : 3,836.10 = 1,731.64 : x
  2. Step 2: Convert to fraction form
    2,779.96/3,836.10 = 1,731.64/x
  3. Step 3: Cross multiply
    2,779.96x = 3,836.10 × 1,731.64
  4. Step 4: Simplify right side
    2,779.96x = 6,642,744.20
  5. Step 5: Solve for x
    x = 6,642,744.20/2,779.96
  6. Step 6: Final answer
    x = 2,389.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.