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Finding the Fourth Proportional to 5,188.38, 7,784.60 and 1,901.80

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Solution

The fourth proportional to 5,188.38, 7,784.60 and 1,901.80 is: 2,853.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.38 : 7,784.60 = 1,901.80 : x
  2. Step 2: Convert to fraction form
    5,188.38/7,784.60 = 1,901.80/x
  3. Step 3: Cross multiply
    5,188.38x = 7,784.60 × 1,901.80
  4. Step 4: Simplify right side
    5,188.38x = 14,804,752.28
  5. Step 5: Solve for x
    x = 14,804,752.28/5,188.38
  6. Step 6: Final answer
    x = 2,853.44

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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.