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Finding the Fourth Proportional to 2,121.49, 3,182.07 and 561.47

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Solution

The fourth proportional to 2,121.49, 3,182.07 and 561.47 is: 842.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.49 : 3,182.07 = 561.47 : x
  2. Step 2: Convert to fraction form
    2,121.49/3,182.07 = 561.47/x
  3. Step 3: Cross multiply
    2,121.49x = 3,182.07 × 561.47
  4. Step 4: Simplify right side
    2,121.49x = 1,786,619.88
  5. Step 5: Solve for x
    x = 1,786,619.88/2,121.49
  6. Step 6: Final answer
    x = 842.15

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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.