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Finding the Fourth Proportional to 5,172.69, 7,759.07 and 1,709.94

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Solution

The fourth proportional to 5,172.69, 7,759.07 and 1,709.94 is: 2,564.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.69 : 7,759.07 = 1,709.94 : x
  2. Step 2: Convert to fraction form
    5,172.69/7,759.07 = 1,709.94/x
  3. Step 3: Cross multiply
    5,172.69x = 7,759.07 × 1,709.94
  4. Step 4: Simplify right side
    5,172.69x = 13,267,544.16
  5. Step 5: Solve for x
    x = 13,267,544.16/5,172.69
  6. Step 6: Final answer
    x = 2,564.92

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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.