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Finding the Fourth Proportional to 5,194.74, 7,785.43 and 1,903.91

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Solution

The fourth proportional to 5,194.74, 7,785.43 and 1,903.91 is: 2,853.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.74 : 7,785.43 = 1,903.91 : x
  2. Step 2: Convert to fraction form
    5,194.74/7,785.43 = 1,903.91/x
  3. Step 3: Cross multiply
    5,194.74x = 7,785.43 × 1,903.91
  4. Step 4: Simplify right side
    5,194.74x = 14,822,758.03
  5. Step 5: Solve for x
    x = 14,822,758.03/5,194.74
  6. Step 6: Final answer
    x = 2,853.42

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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.