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Finding the Fourth Proportional to 1,898.86, 2,834.55 and 1,640.52

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Solution

The fourth proportional to 1,898.86, 2,834.55 and 1,640.52 is: 2,448.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.86 : 2,834.55 = 1,640.52 : x
  2. Step 2: Convert to fraction form
    1,898.86/2,834.55 = 1,640.52/x
  3. Step 3: Cross multiply
    1,898.86x = 2,834.55 × 1,640.52
  4. Step 4: Simplify right side
    1,898.86x = 4,650,135.97
  5. Step 5: Solve for x
    x = 4,650,135.97/1,898.86
  6. Step 6: Final answer
    x = 2,448.91

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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.