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Finding the Fourth Proportional to 1,851.80, 2,784.12 and 1,489.10

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Solution

The fourth proportional to 1,851.80, 2,784.12 and 1,489.10 is: 2,238.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.80 : 2,784.12 = 1,489.10 : x
  2. Step 2: Convert to fraction form
    1,851.80/2,784.12 = 1,489.10/x
  3. Step 3: Cross multiply
    1,851.80x = 2,784.12 × 1,489.10
  4. Step 4: Simplify right side
    1,851.80x = 4,145,833.09
  5. Step 5: Solve for x
    x = 4,145,833.09/1,851.80
  6. Step 6: Final answer
    x = 2,238.81

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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.