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Finding the Fourth Proportional to 3,981.60, 5,967.86 and 1,898.64

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Solution

The fourth proportional to 3,981.60, 5,967.86 and 1,898.64 is: 2,845.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.60 : 5,967.86 = 1,898.64 : x
  2. Step 2: Convert to fraction form
    3,981.60/5,967.86 = 1,898.64/x
  3. Step 3: Cross multiply
    3,981.60x = 5,967.86 × 1,898.64
  4. Step 4: Simplify right side
    3,981.60x = 11,330,817.71
  5. Step 5: Solve for x
    x = 11,330,817.71/3,981.60
  6. Step 6: Final answer
    x = 2,845.80

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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.