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Finding the Fourth Proportional to 7,173.09, 9,896.09 and 5,289.13

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Solution

The fourth proportional to 7,173.09, 9,896.09 and 5,289.13 is: 7,296.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,173.09 : 9,896.09 = 5,289.13 : x
  2. Step 2: Convert to fraction form
    7,173.09/9,896.09 = 5,289.13/x
  3. Step 3: Cross multiply
    7,173.09x = 9,896.09 × 5,289.13
  4. Step 4: Simplify right side
    7,173.09x = 52,341,706.50
  5. Step 5: Solve for x
    x = 52,341,706.50/7,173.09
  6. Step 6: Final answer
    x = 7,296.95

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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.