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Finding the Fourth Proportional to 1,878.99, 2,814.31 and 1,832.51

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Solution

The fourth proportional to 1,878.99, 2,814.31 and 1,832.51 is: 2,744.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.99 : 2,814.31 = 1,832.51 : x
  2. Step 2: Convert to fraction form
    1,878.99/2,814.31 = 1,832.51/x
  3. Step 3: Cross multiply
    1,878.99x = 2,814.31 × 1,832.51
  4. Step 4: Simplify right side
    1,878.99x = 5,157,253.67
  5. Step 5: Solve for x
    x = 5,157,253.67/1,878.99
  6. Step 6: Final answer
    x = 2,744.69

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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.