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Finding the Fourth Proportional to 3,799, 5,242.12 and 2,120.20

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Solution

The fourth proportional to 3,799, 5,242.12 and 2,120.20 is: 2,925.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,799 : 5,242.12 = 2,120.20 : x
  2. Step 2: Convert to fraction form
    3,799/5,242.12 = 2,120.20/x
  3. Step 3: Cross multiply
    3,799x = 5,242.12 × 2,120.20
  4. Step 4: Simplify right side
    3,799x = 11,114,342.82
  5. Step 5: Solve for x
    x = 11,114,342.82/3,799
  6. Step 6: Final answer
    x = 2,925.60

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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.