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Finding the Fourth Proportional to 3,484.84, 4,809 and 1,912.90

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Solution

The fourth proportional to 3,484.84, 4,809 and 1,912.90 is: 2,639.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.84 : 4,809 = 1,912.90 : x
  2. Step 2: Convert to fraction form
    3,484.84/4,809 = 1,912.90/x
  3. Step 3: Cross multiply
    3,484.84x = 4,809 × 1,912.90
  4. Step 4: Simplify right side
    3,484.84x = 9,199,136.10
  5. Step 5: Solve for x
    x = 9,199,136.10/3,484.84
  6. Step 6: Final answer
    x = 2,639.76

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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.