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Finding the Fourth Proportional to 4,643.49, 6,974.57 and 3,990.88

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Solution

The fourth proportional to 4,643.49, 6,974.57 and 3,990.88 is: 5,994.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.49 : 6,974.57 = 3,990.88 : x
  2. Step 2: Convert to fraction form
    4,643.49/6,974.57 = 3,990.88/x
  3. Step 3: Cross multiply
    4,643.49x = 6,974.57 × 3,990.88
  4. Step 4: Simplify right side
    4,643.49x = 27,834,671.92
  5. Step 5: Solve for x
    x = 27,834,671.92/4,643.49
  6. Step 6: Final answer
    x = 5,994.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.