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Finding the Fourth Proportional to 5,224.55, 7,209.86 and 2,866.64

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Solution

The fourth proportional to 5,224.55, 7,209.86 and 2,866.64 is: 3,955.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.55 : 7,209.86 = 2,866.64 : x
  2. Step 2: Convert to fraction form
    5,224.55/7,209.86 = 2,866.64/x
  3. Step 3: Cross multiply
    5,224.55x = 7,209.86 × 2,866.64
  4. Step 4: Simplify right side
    5,224.55x = 20,668,022.69
  5. Step 5: Solve for x
    x = 20,668,022.69/5,224.55
  6. Step 6: Final answer
    x = 3,955.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.