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Finding the Fourth Proportional to 5,188.71, 7,784.39 and 1,491.20

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Solution

The fourth proportional to 5,188.71, 7,784.39 and 1,491.20 is: 2,237.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.71 : 7,784.39 = 1,491.20 : x
  2. Step 2: Convert to fraction form
    5,188.71/7,784.39 = 1,491.20/x
  3. Step 3: Cross multiply
    5,188.71x = 7,784.39 × 1,491.20
  4. Step 4: Simplify right side
    5,188.71x = 11,608,082.37
  5. Step 5: Solve for x
    x = 11,608,082.37/5,188.71
  6. Step 6: Final answer
    x = 2,237.18

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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.