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Finding the Fourth Proportional to 1,868.96, 2,779.68 and 1,832.12

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Solution

The fourth proportional to 1,868.96, 2,779.68 and 1,832.12 is: 2,724.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868.96 : 2,779.68 = 1,832.12 : x
  2. Step 2: Convert to fraction form
    1,868.96/2,779.68 = 1,832.12/x
  3. Step 3: Cross multiply
    1,868.96x = 2,779.68 × 1,832.12
  4. Step 4: Simplify right side
    1,868.96x = 5,092,707.32
  5. Step 5: Solve for x
    x = 5,092,707.32/1,868.96
  6. Step 6: Final answer
    x = 2,724.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.