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Finding the Fourth Proportional to 2,643.63, 3,641.52 and 2,512.41

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Solution

The fourth proportional to 2,643.63, 3,641.52 and 2,512.41 is: 3,460.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.63 : 3,641.52 = 2,512.41 : x
  2. Step 2: Convert to fraction form
    2,643.63/3,641.52 = 2,512.41/x
  3. Step 3: Cross multiply
    2,643.63x = 3,641.52 × 2,512.41
  4. Step 4: Simplify right side
    2,643.63x = 9,148,991.26
  5. Step 5: Solve for x
    x = 9,148,991.26/2,643.63
  6. Step 6: Final answer
    x = 3,460.77

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1.5x scale

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.