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Finding the Fourth Proportional to 2,135.99, 2,945.82 and 1,389.68

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Solution

The fourth proportional to 2,135.99, 2,945.82 and 1,389.68 is: 1,916.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.99 : 2,945.82 = 1,389.68 : x
  2. Step 2: Convert to fraction form
    2,135.99/2,945.82 = 1,389.68/x
  3. Step 3: Cross multiply
    2,135.99x = 2,945.82 × 1,389.68
  4. Step 4: Simplify right side
    2,135.99x = 4,093,732.41
  5. Step 5: Solve for x
    x = 4,093,732.41/2,135.99
  6. Step 6: Final answer
    x = 1,916.55

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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.