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Finding the Fourth Proportional to 5,188.74, 7,784.20 and 1,901.94

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Solution

The fourth proportional to 5,188.74, 7,784.20 and 1,901.94 is: 2,853.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.74 : 7,784.20 = 1,901.94 : x
  2. Step 2: Convert to fraction form
    5,188.74/7,784.20 = 1,901.94/x
  3. Step 3: Cross multiply
    5,188.74x = 7,784.20 × 1,901.94
  4. Step 4: Simplify right side
    5,188.74x = 14,805,081.35
  5. Step 5: Solve for x
    x = 14,805,081.35/5,188.74
  6. Step 6: Final answer
    x = 2,853.31

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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.