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Finding the Fourth Proportional to 2,649.63, 3,643.52 and 2,299.71

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Solution

The fourth proportional to 2,649.63, 3,643.52 and 2,299.71 is: 3,162.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.63 : 3,643.52 = 2,299.71 : x
  2. Step 2: Convert to fraction form
    2,649.63/3,643.52 = 2,299.71/x
  3. Step 3: Cross multiply
    2,649.63x = 3,643.52 × 2,299.71
  4. Step 4: Simplify right side
    2,649.63x = 8,379,039.38
  5. Step 5: Solve for x
    x = 8,379,039.38/2,649.63
  6. Step 6: Final answer
    x = 3,162.34

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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.