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Finding the Fourth Proportional to 3,584, 4,947 and 2,186.48

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Solution

The fourth proportional to 3,584, 4,947 and 2,186.48 is: 3,018.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584 : 4,947 = 2,186.48 : x
  2. Step 2: Convert to fraction form
    3,584/4,947 = 2,186.48/x
  3. Step 3: Cross multiply
    3,584x = 4,947 × 2,186.48
  4. Step 4: Simplify right side
    3,584x = 10,816,516.56
  5. Step 5: Solve for x
    x = 10,816,516.56/3,584
  6. Step 6: Final answer
    x = 3,018.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.