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Finding the Fourth Proportional to 4,102.71, 5,663 and 2,776.39

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Solution

The fourth proportional to 4,102.71, 5,663 and 2,776.39 is: 3,832.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.71 : 5,663 = 2,776.39 : x
  2. Step 2: Convert to fraction form
    4,102.71/5,663 = 2,776.39/x
  3. Step 3: Cross multiply
    4,102.71x = 5,663 × 2,776.39
  4. Step 4: Simplify right side
    4,102.71x = 15,722,696.57
  5. Step 5: Solve for x
    x = 15,722,696.57/4,102.71
  6. Step 6: Final answer
    x = 3,832.27

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1.5x scale

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.