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Finding the Fourth Proportional to 3,867.60, 5,807.88 and 2,139.60

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Solution

The fourth proportional to 3,867.60, 5,807.88 and 2,139.60 is: 3,212.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.60 : 5,807.88 = 2,139.60 : x
  2. Step 2: Convert to fraction form
    3,867.60/5,807.88 = 2,139.60/x
  3. Step 3: Cross multiply
    3,867.60x = 5,807.88 × 2,139.60
  4. Step 4: Simplify right side
    3,867.60x = 12,426,540.05
  5. Step 5: Solve for x
    x = 12,426,540.05/3,867.60
  6. Step 6: Final answer
    x = 3,212.98

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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.