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Finding the Fourth Proportional to 2,367.60, 3,267 and 1,319.28

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Solution

The fourth proportional to 2,367.60, 3,267 and 1,319.28 is: 1,820.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.60 : 3,267 = 1,319.28 : x
  2. Step 2: Convert to fraction form
    2,367.60/3,267 = 1,319.28/x
  3. Step 3: Cross multiply
    2,367.60x = 3,267 × 1,319.28
  4. Step 4: Simplify right side
    2,367.60x = 4,310,087.76
  5. Step 5: Solve for x
    x = 4,310,087.76/2,367.60
  6. Step 6: Final answer
    x = 1,820.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.