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Finding the Fourth Proportional to 6,800.84, 10,192.80 and 3,102.08

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Solution

The fourth proportional to 6,800.84, 10,192.80 and 3,102.08 is: 4,649.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.84 : 10,192.80 = 3,102.08 : x
  2. Step 2: Convert to fraction form
    6,800.84/10,192.80 = 3,102.08/x
  3. Step 3: Cross multiply
    6,800.84x = 10,192.80 × 3,102.08
  4. Step 4: Simplify right side
    6,800.84x = 31,618,881.02
  5. Step 5: Solve for x
    x = 31,618,881.02/6,800.84
  6. Step 6: Final answer
    x = 4,649.26

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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.