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Finding the Fourth Proportional to 3,493.51, 5,240.14 and 1,519.13

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Solution

The fourth proportional to 3,493.51, 5,240.14 and 1,519.13 is: 2,278.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.51 : 5,240.14 = 1,519.13 : x
  2. Step 2: Convert to fraction form
    3,493.51/5,240.14 = 1,519.13/x
  3. Step 3: Cross multiply
    3,493.51x = 5,240.14 × 1,519.13
  4. Step 4: Simplify right side
    3,493.51x = 7,960,463.18
  5. Step 5: Solve for x
    x = 7,960,463.18/3,493.51
  6. Step 6: Final answer
    x = 2,278.64

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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.