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Finding the Fourth Proportional to 1,946.45, 2,900.16 and 1,894.21

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Solution

The fourth proportional to 1,946.45, 2,900.16 and 1,894.21 is: 2,822.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.45 : 2,900.16 = 1,894.21 : x
  2. Step 2: Convert to fraction form
    1,946.45/2,900.16 = 1,894.21/x
  3. Step 3: Cross multiply
    1,946.45x = 2,900.16 × 1,894.21
  4. Step 4: Simplify right side
    1,946.45x = 5,493,504.82
  5. Step 5: Solve for x
    x = 5,493,504.82/1,946.45
  6. Step 6: Final answer
    x = 2,822.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.