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Finding the Fourth Proportional to 3,506.79, 5,253.03 and 2,186.22

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Solution

The fourth proportional to 3,506.79, 5,253.03 and 2,186.22 is: 3,274.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.79 : 5,253.03 = 2,186.22 : x
  2. Step 2: Convert to fraction form
    3,506.79/5,253.03 = 2,186.22/x
  3. Step 3: Cross multiply
    3,506.79x = 5,253.03 × 2,186.22
  4. Step 4: Simplify right side
    3,506.79x = 11,484,279.25
  5. Step 5: Solve for x
    x = 11,484,279.25/3,506.79
  6. Step 6: Final answer
    x = 3,274.87

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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.