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Finding the Fourth Proportional to 2,648.84, 3,655.23 and 1,469.91

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Solution

The fourth proportional to 2,648.84, 3,655.23 and 1,469.91 is: 2,028.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.84 : 3,655.23 = 1,469.91 : x
  2. Step 2: Convert to fraction form
    2,648.84/3,655.23 = 1,469.91/x
  3. Step 3: Cross multiply
    2,648.84x = 3,655.23 × 1,469.91
  4. Step 4: Simplify right side
    2,648.84x = 5,372,859.13
  5. Step 5: Solve for x
    x = 5,372,859.13/2,648.84
  6. Step 6: Final answer
    x = 2,028.38

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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.