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Finding the Fourth Proportional to 2,978.19, 4,109.36 and 1,651.64

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Solution

The fourth proportional to 2,978.19, 4,109.36 and 1,651.64 is: 2,278.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.19 : 4,109.36 = 1,651.64 : x
  2. Step 2: Convert to fraction form
    2,978.19/4,109.36 = 1,651.64/x
  3. Step 3: Cross multiply
    2,978.19x = 4,109.36 × 1,651.64
  4. Step 4: Simplify right side
    2,978.19x = 6,787,182.31
  5. Step 5: Solve for x
    x = 6,787,182.31/2,978.19
  6. Step 6: Final answer
    x = 2,278.96

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Why These Related Problems?

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