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Finding the Fourth Proportional to 3,855.60, 5,784 and 1,390.92

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Solution

The fourth proportional to 3,855.60, 5,784 and 1,390.92 is: 2,086.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.60 : 5,784 = 1,390.92 : x
  2. Step 2: Convert to fraction form
    3,855.60/5,784 = 1,390.92/x
  3. Step 3: Cross multiply
    3,855.60x = 5,784 × 1,390.92
  4. Step 4: Simplify right side
    3,855.60x = 8,045,081.28
  5. Step 5: Solve for x
    x = 8,045,081.28/3,855.60
  6. Step 6: Final answer
    x = 2,086.60

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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.