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Finding the Fourth Proportional to 4,202.65, 5,799.90 and 2,783.86

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Solution

The fourth proportional to 4,202.65, 5,799.90 and 2,783.86 is: 3,841.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.65 : 5,799.90 = 2,783.86 : x
  2. Step 2: Convert to fraction form
    4,202.65/5,799.90 = 2,783.86/x
  3. Step 3: Cross multiply
    4,202.65x = 5,799.90 × 2,783.86
  4. Step 4: Simplify right side
    4,202.65x = 16,146,109.61
  5. Step 5: Solve for x
    x = 16,146,109.61/4,202.65
  6. Step 6: Final answer
    x = 3,841.89

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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.