Home / 2,970.25-4,098.63-1,643.92

Finding the Fourth Proportional to 2,970.25, 4,098.63 and 1,643.92

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Solution

The fourth proportional to 2,970.25, 4,098.63 and 1,643.92 is: 2,268.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.25 : 4,098.63 = 1,643.92 : x
  2. Step 2: Convert to fraction form
    2,970.25/4,098.63 = 1,643.92/x
  3. Step 3: Cross multiply
    2,970.25x = 4,098.63 × 1,643.92
  4. Step 4: Simplify right side
    2,970.25x = 6,737,819.83
  5. Step 5: Solve for x
    x = 6,737,819.83/2,970.25
  6. Step 6: Final answer
    x = 2,268.44

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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.