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Finding the Fourth Proportional to 4,228.47, 5,836.46 and 2,905.47

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Solution

The fourth proportional to 4,228.47, 5,836.46 and 2,905.47 is: 4,010.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,228.47 : 5,836.46 = 2,905.47 : x
  2. Step 2: Convert to fraction form
    4,228.47/5,836.46 = 2,905.47/x
  3. Step 3: Cross multiply
    4,228.47x = 5,836.46 × 2,905.47
  4. Step 4: Simplify right side
    4,228.47x = 16,957,644.91
  5. Step 5: Solve for x
    x = 16,957,644.91/4,228.47
  6. Step 6: Final answer
    x = 4,010.35

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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.