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Finding the Fourth Proportional to 7,943.70, 11,911.95 and 3,011.70

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Solution

The fourth proportional to 7,943.70, 11,911.95 and 3,011.70 is: 4,516.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,943.70 : 11,911.95 = 3,011.70 : x
  2. Step 2: Convert to fraction form
    7,943.70/11,911.95 = 3,011.70/x
  3. Step 3: Cross multiply
    7,943.70x = 11,911.95 × 3,011.70
  4. Step 4: Simplify right side
    7,943.70x = 35,875,219.82
  5. Step 5: Solve for x
    x = 35,875,219.82/7,943.70
  6. Step 6: Final answer
    x = 4,516.19

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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.