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Finding the Fourth Proportional to 2,904.74, 4,007.05 and 1,959.33

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Solution

The fourth proportional to 2,904.74, 4,007.05 and 1,959.33 is: 2,702.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.74 : 4,007.05 = 1,959.33 : x
  2. Step 2: Convert to fraction form
    2,904.74/4,007.05 = 1,959.33/x
  3. Step 3: Cross multiply
    2,904.74x = 4,007.05 × 1,959.33
  4. Step 4: Simplify right side
    2,904.74x = 7,851,133.28
  5. Step 5: Solve for x
    x = 7,851,133.28/2,904.74
  6. Step 6: Final answer
    x = 2,702.87

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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.