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Finding the Fourth Proportional to 2,596.24, 3,894.26 and 648.44

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Solution

The fourth proportional to 2,596.24, 3,894.26 and 648.44 is: 972.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.24 : 3,894.26 = 648.44 : x
  2. Step 2: Convert to fraction form
    2,596.24/3,894.26 = 648.44/x
  3. Step 3: Cross multiply
    2,596.24x = 3,894.26 × 648.44
  4. Step 4: Simplify right side
    2,596.24x = 2,525,193.95
  5. Step 5: Solve for x
    x = 2,525,193.95/2,596.24
  6. Step 6: Final answer
    x = 972.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.