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Finding the Fourth Proportional to 2,906.84, 4,012.30 and 1,728.70

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Solution

The fourth proportional to 2,906.84, 4,012.30 and 1,728.70 is: 2,386.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.84 : 4,012.30 = 1,728.70 : x
  2. Step 2: Convert to fraction form
    2,906.84/4,012.30 = 1,728.70/x
  3. Step 3: Cross multiply
    2,906.84x = 4,012.30 × 1,728.70
  4. Step 4: Simplify right side
    2,906.84x = 6,936,055.14
  5. Step 5: Solve for x
    x = 6,936,055.14/2,906.84
  6. Step 6: Final answer
    x = 2,386.11

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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.