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Finding the Fourth Proportional to 4,505.78, 6,220.24 and 2,829.62

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Solution

The fourth proportional to 4,505.78, 6,220.24 and 2,829.62 is: 3,906.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,505.78 : 6,220.24 = 2,829.62 : x
  2. Step 2: Convert to fraction form
    4,505.78/6,220.24 = 2,829.62/x
  3. Step 3: Cross multiply
    4,505.78x = 6,220.24 × 2,829.62
  4. Step 4: Simplify right side
    4,505.78x = 17,600,915.51
  5. Step 5: Solve for x
    x = 17,600,915.51/4,505.78
  6. Step 6: Final answer
    x = 3,906.30

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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.