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Finding the Fourth Proportional to 3,867.60, 5,802.12 and 2,019.72

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Solution

The fourth proportional to 3,867.60, 5,802.12 and 2,019.72 is: 3,029.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.60 : 5,802.12 = 2,019.72 : x
  2. Step 2: Convert to fraction form
    3,867.60/5,802.12 = 2,019.72/x
  3. Step 3: Cross multiply
    3,867.60x = 5,802.12 × 2,019.72
  4. Step 4: Simplify right side
    3,867.60x = 11,718,657.81
  5. Step 5: Solve for x
    x = 11,718,657.81/3,867.60
  6. Step 6: Final answer
    x = 3,029.96

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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.