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Finding the Fourth Proportional to 1,954.06, 2,928.54 and 1,490.14

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Solution

The fourth proportional to 1,954.06, 2,928.54 and 1,490.14 is: 2,233.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.06 : 2,928.54 = 1,490.14 : x
  2. Step 2: Convert to fraction form
    1,954.06/2,928.54 = 1,490.14/x
  3. Step 3: Cross multiply
    1,954.06x = 2,928.54 × 1,490.14
  4. Step 4: Simplify right side
    1,954.06x = 4,363,934.60
  5. Step 5: Solve for x
    x = 4,363,934.60/1,954.06
  6. Step 6: Final answer
    x = 2,233.27

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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.