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Finding the Fourth Proportional to 3,494.51, 5,241.64 and 1,520.13

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Solution

The fourth proportional to 3,494.51, 5,241.64 and 1,520.13 is: 2,280.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.51 : 5,241.64 = 1,520.13 : x
  2. Step 2: Convert to fraction form
    3,494.51/5,241.64 = 1,520.13/x
  3. Step 3: Cross multiply
    3,494.51x = 5,241.64 × 1,520.13
  4. Step 4: Simplify right side
    3,494.51x = 7,967,974.21
  5. Step 5: Solve for x
    x = 7,967,974.21/3,494.51
  6. Step 6: Final answer
    x = 2,280.14

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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.