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Finding the Fourth Proportional to 5,188.84, 7,784.61 and 1,491.37

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Solution

The fourth proportional to 5,188.84, 7,784.61 and 1,491.37 is: 2,237.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.84 : 7,784.61 = 1,491.37 : x
  2. Step 2: Convert to fraction form
    5,188.84/7,784.61 = 1,491.37/x
  3. Step 3: Cross multiply
    5,188.84x = 7,784.61 × 1,491.37
  4. Step 4: Simplify right side
    5,188.84x = 11,609,733.82
  5. Step 5: Solve for x
    x = 11,609,733.82/5,188.84
  6. Step 6: Final answer
    x = 2,237.44

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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.