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Finding the Fourth Proportional to 6,021.76, 8,309.76 and 3,369.12

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Solution

The fourth proportional to 6,021.76, 8,309.76 and 3,369.12 is: 4,649.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,021.76 : 8,309.76 = 3,369.12 : x
  2. Step 2: Convert to fraction form
    6,021.76/8,309.76 = 3,369.12/x
  3. Step 3: Cross multiply
    6,021.76x = 8,309.76 × 3,369.12
  4. Step 4: Simplify right side
    6,021.76x = 27,996,578.61
  5. Step 5: Solve for x
    x = 27,996,578.61/6,021.76
  6. Step 6: Final answer
    x = 4,649.24

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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.