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Finding the Fourth Proportional to 2,469.84, 3,408.12 and 1,681.44

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Solution

The fourth proportional to 2,469.84, 3,408.12 and 1,681.44 is: 2,320.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.84 : 3,408.12 = 1,681.44 : x
  2. Step 2: Convert to fraction form
    2,469.84/3,408.12 = 1,681.44/x
  3. Step 3: Cross multiply
    2,469.84x = 3,408.12 × 1,681.44
  4. Step 4: Simplify right side
    2,469.84x = 5,730,549.29
  5. Step 5: Solve for x
    x = 5,730,549.29/2,469.84
  6. Step 6: Final answer
    x = 2,320.21

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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.