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Finding the Fourth Proportional to 2,683.63, 3,702.14 and 1,898.11

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Solution

The fourth proportional to 2,683.63, 3,702.14 and 1,898.11 is: 2,618.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.63 : 3,702.14 = 1,898.11 : x
  2. Step 2: Convert to fraction form
    2,683.63/3,702.14 = 1,898.11/x
  3. Step 3: Cross multiply
    2,683.63x = 3,702.14 × 1,898.11
  4. Step 4: Simplify right side
    2,683.63x = 7,027,055.19
  5. Step 5: Solve for x
    x = 7,027,055.19/2,683.63
  6. Step 6: Final answer
    x = 2,618.49

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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.