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Finding the Fourth Proportional to 6,802.84, 10,195.80 and 3,104.08

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Solution

The fourth proportional to 6,802.84, 10,195.80 and 3,104.08 is: 4,652.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.84 : 10,195.80 = 3,104.08 : x
  2. Step 2: Convert to fraction form
    6,802.84/10,195.80 = 3,104.08/x
  3. Step 3: Cross multiply
    6,802.84x = 10,195.80 × 3,104.08
  4. Step 4: Simplify right side
    6,802.84x = 31,648,578.86
  5. Step 5: Solve for x
    x = 31,648,578.86/6,802.84
  6. Step 6: Final answer
    x = 4,652.26

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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.