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Finding the Fourth Proportional to 5,161.78, 7,736.32 and 2,384.70

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Solution

The fourth proportional to 5,161.78, 7,736.32 and 2,384.70 is: 3,574.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.78 : 7,736.32 = 2,384.70 : x
  2. Step 2: Convert to fraction form
    5,161.78/7,736.32 = 2,384.70/x
  3. Step 3: Cross multiply
    5,161.78x = 7,736.32 × 2,384.70
  4. Step 4: Simplify right side
    5,161.78x = 18,448,802.30
  5. Step 5: Solve for x
    x = 18,448,802.30/5,161.78
  6. Step 6: Final answer
    x = 3,574.12

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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.