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Finding the Fourth Proportional to 7,172.96, 9,895.92 and 5,289.00

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Solution

The fourth proportional to 7,172.96, 9,895.92 and 5,289.00 is: 7,296.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172.96 : 9,895.92 = 5,289.00 : x
  2. Step 2: Convert to fraction form
    7,172.96/9,895.92 = 5,289.00/x
  3. Step 3: Cross multiply
    7,172.96x = 9,895.92 × 5,289.00
  4. Step 4: Simplify right side
    7,172.96x = 52,339,538.16
  5. Step 5: Solve for x
    x = 52,339,538.16/7,172.96
  6. Step 6: Final answer
    x = 7,296.78

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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.