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Finding the Fourth Proportional to 2,209.14, 3,313.74 and 565.71

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Solution

The fourth proportional to 2,209.14, 3,313.74 and 565.71 is: 848.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.14 : 3,313.74 = 565.71 : x
  2. Step 2: Convert to fraction form
    2,209.14/3,313.74 = 565.71/x
  3. Step 3: Cross multiply
    2,209.14x = 3,313.74 × 565.71
  4. Step 4: Simplify right side
    2,209.14x = 1,874,615.86
  5. Step 5: Solve for x
    x = 1,874,615.86/2,209.14
  6. Step 6: Final answer
    x = 848.57

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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.