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Finding the Fourth Proportional to 7,889.89, 11,843.04 and 5,812.24

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Solution

The fourth proportional to 7,889.89, 11,843.04 and 5,812.24 is: 8,724.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.89 : 11,843.04 = 5,812.24 : x
  2. Step 2: Convert to fraction form
    7,889.89/11,843.04 = 5,812.24/x
  3. Step 3: Cross multiply
    7,889.89x = 11,843.04 × 5,812.24
  4. Step 4: Simplify right side
    7,889.89x = 68,834,590.81
  5. Step 5: Solve for x
    x = 68,834,590.81/7,889.89
  6. Step 6: Final answer
    x = 8,724.40

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1.5x scale

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.