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Finding the Fourth Proportional to 1,859.52, 2,784.48 and 1,371.84

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Solution

The fourth proportional to 1,859.52, 2,784.48 and 1,371.84 is: 2,054.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.52 : 2,784.48 = 1,371.84 : x
  2. Step 2: Convert to fraction form
    1,859.52/2,784.48 = 1,371.84/x
  3. Step 3: Cross multiply
    1,859.52x = 2,784.48 × 1,371.84
  4. Step 4: Simplify right side
    1,859.52x = 3,819,861.04
  5. Step 5: Solve for x
    x = 3,819,861.04/1,859.52
  6. Step 6: Final answer
    x = 2,054.22

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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.