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Finding the Fourth Proportional to 3,515.99, 5,274.80 and 1,324.76

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Solution

The fourth proportional to 3,515.99, 5,274.80 and 1,324.76 is: 1,987.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,515.99 : 5,274.80 = 1,324.76 : x
  2. Step 2: Convert to fraction form
    3,515.99/5,274.80 = 1,324.76/x
  3. Step 3: Cross multiply
    3,515.99x = 5,274.80 × 1,324.76
  4. Step 4: Simplify right side
    3,515.99x = 6,987,837.42
  5. Step 5: Solve for x
    x = 6,987,837.42/3,515.99
  6. Step 6: Final answer
    x = 1,987.45

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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.