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Finding the Fourth Proportional to 7,591, 11,386.52 and 2,119

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Solution

The fourth proportional to 7,591, 11,386.52 and 2,119 is: 3,178.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,591 : 11,386.52 = 2,119 : x
  2. Step 2: Convert to fraction form
    7,591/11,386.52 = 2,119/x
  3. Step 3: Cross multiply
    7,591x = 11,386.52 × 2,119
  4. Step 4: Simplify right side
    7,591x = 24,128,035.88
  5. Step 5: Solve for x
    x = 24,128,035.88/7,591
  6. Step 6: Final answer
    x = 3,178.51

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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.