Home / 2,922.64-4,032.84-1,663.28

Finding the Fourth Proportional to 2,922.64, 4,032.84 and 1,663.28

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Solution

The fourth proportional to 2,922.64, 4,032.84 and 1,663.28 is: 2,295.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.64 : 4,032.84 = 1,663.28 : x
  2. Step 2: Convert to fraction form
    2,922.64/4,032.84 = 1,663.28/x
  3. Step 3: Cross multiply
    2,922.64x = 4,032.84 × 1,663.28
  4. Step 4: Simplify right side
    2,922.64x = 6,707,742.12
  5. Step 5: Solve for x
    x = 6,707,742.12/2,922.64
  6. Step 6: Final answer
    x = 2,295.10

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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.