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Finding the Fourth Proportional to 3,324.99, 4,987.47 and 859.82

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Solution

The fourth proportional to 3,324.99, 4,987.47 and 859.82 is: 1,289.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,324.99 : 4,987.47 = 859.82 : x
  2. Step 2: Convert to fraction form
    3,324.99/4,987.47 = 859.82/x
  3. Step 3: Cross multiply
    3,324.99x = 4,987.47 × 859.82
  4. Step 4: Simplify right side
    3,324.99x = 4,288,326.46
  5. Step 5: Solve for x
    x = 4,288,326.46/3,324.99
  6. Step 6: Final answer
    x = 1,289.73

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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.