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Finding the Fourth Proportional to 2,970.33, 4,098.76 and 1,643.82

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Solution

The fourth proportional to 2,970.33, 4,098.76 and 1,643.82 is: 2,268.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.33 : 4,098.76 = 1,643.82 : x
  2. Step 2: Convert to fraction form
    2,970.33/4,098.76 = 1,643.82/x
  3. Step 3: Cross multiply
    2,970.33x = 4,098.76 × 1,643.82
  4. Step 4: Simplify right side
    2,970.33x = 6,737,623.66
  5. Step 5: Solve for x
    x = 6,737,623.66/2,970.33
  6. Step 6: Final answer
    x = 2,268.31

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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.