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Finding the Fourth Proportional to 1,945.98, 2,930.42 and 1,401.99

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Solution

The fourth proportional to 1,945.98, 2,930.42 and 1,401.99 is: 2,111.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.98 : 2,930.42 = 1,401.99 : x
  2. Step 2: Convert to fraction form
    1,945.98/2,930.42 = 1,401.99/x
  3. Step 3: Cross multiply
    1,945.98x = 2,930.42 × 1,401.99
  4. Step 4: Simplify right side
    1,945.98x = 4,108,412.53
  5. Step 5: Solve for x
    x = 4,108,412.53/1,945.98
  6. Step 6: Final answer
    x = 2,111.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.