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Finding the Fourth Proportional to 1,922.64, 2,879.10 and 1,378.32

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Solution

The fourth proportional to 1,922.64, 2,879.10 and 1,378.32 is: 2,064.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.64 : 2,879.10 = 1,378.32 : x
  2. Step 2: Convert to fraction form
    1,922.64/2,879.10 = 1,378.32/x
  3. Step 3: Cross multiply
    1,922.64x = 2,879.10 × 1,378.32
  4. Step 4: Simplify right side
    1,922.64x = 3,968,321.11
  5. Step 5: Solve for x
    x = 3,968,321.11/1,922.64
  6. Step 6: Final answer
    x = 2,064.00

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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.