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Finding the Fourth Proportional to 3,699.76, 5,105.47 and 2,106.80

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Solution

The fourth proportional to 3,699.76, 5,105.47 and 2,106.80 is: 2,907.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.76 : 5,105.47 = 2,106.80 : x
  2. Step 2: Convert to fraction form
    3,699.76/5,105.47 = 2,106.80/x
  3. Step 3: Cross multiply
    3,699.76x = 5,105.47 × 2,106.80
  4. Step 4: Simplify right side
    3,699.76x = 10,756,204.20
  5. Step 5: Solve for x
    x = 10,756,204.20/3,699.76
  6. Step 6: Final answer
    x = 2,907.27

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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.