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Finding the Fourth Proportional to 3,798.68, 5,242.10 and 2,120.20

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Solution

The fourth proportional to 3,798.68, 5,242.10 and 2,120.20 is: 2,925.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.68 : 5,242.10 = 2,120.20 : x
  2. Step 2: Convert to fraction form
    3,798.68/5,242.10 = 2,120.20/x
  3. Step 3: Cross multiply
    3,798.68x = 5,242.10 × 2,120.20
  4. Step 4: Simplify right side
    3,798.68x = 11,114,300.42
  5. Step 5: Solve for x
    x = 11,114,300.42/3,798.68
  6. Step 6: Final answer
    x = 2,925.83

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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.