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Finding the Fourth Proportional to 2,596.97, 3,895.41 and 649.15

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Solution

The fourth proportional to 2,596.97, 3,895.41 and 649.15 is: 973.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.97 : 3,895.41 = 649.15 : x
  2. Step 2: Convert to fraction form
    2,596.97/3,895.41 = 649.15/x
  3. Step 3: Cross multiply
    2,596.97x = 3,895.41 × 649.15
  4. Step 4: Simplify right side
    2,596.97x = 2,528,705.40
  5. Step 5: Solve for x
    x = 2,528,705.40/2,596.97
  6. Step 6: Final answer
    x = 973.71

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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.