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Finding the Fourth Proportional to 4,353.86, 5,990.46 and 4,231.34

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Solution

The fourth proportional to 4,353.86, 5,990.46 and 4,231.34 is: 5,821.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,353.86 : 5,990.46 = 4,231.34 : x
  2. Step 2: Convert to fraction form
    4,353.86/5,990.46 = 4,231.34/x
  3. Step 3: Cross multiply
    4,353.86x = 5,990.46 × 4,231.34
  4. Step 4: Simplify right side
    4,353.86x = 25,347,673.02
  5. Step 5: Solve for x
    x = 25,347,673.02/4,353.86
  6. Step 6: Final answer
    x = 5,821.89

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Double scale
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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.