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Finding the Fourth Proportional to 2,645.88, 3,649.50 and 1,946.04

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Solution

The fourth proportional to 2,645.88, 3,649.50 and 1,946.04 is: 2,684.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.88 : 3,649.50 = 1,946.04 : x
  2. Step 2: Convert to fraction form
    2,645.88/3,649.50 = 1,946.04/x
  3. Step 3: Cross multiply
    2,645.88x = 3,649.50 × 1,946.04
  4. Step 4: Simplify right side
    2,645.88x = 7,102,072.98
  5. Step 5: Solve for x
    x = 7,102,072.98/2,645.88
  6. Step 6: Final answer
    x = 2,684.20

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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.