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Finding the Fourth Proportional to 6,172.80, 9,259.20 and 2,709.12

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Solution

The fourth proportional to 6,172.80, 9,259.20 and 2,709.12 is: 4,063.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.80 : 9,259.20 = 2,709.12 : x
  2. Step 2: Convert to fraction form
    6,172.80/9,259.20 = 2,709.12/x
  3. Step 3: Cross multiply
    6,172.80x = 9,259.20 × 2,709.12
  4. Step 4: Simplify right side
    6,172.80x = 25,084,283.90
  5. Step 5: Solve for x
    x = 25,084,283.90/6,172.80
  6. Step 6: Final answer
    x = 4,063.68

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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.