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Finding the Fourth Proportional to 1,938.57, 2,893.79 and 1,659.72

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Solution

The fourth proportional to 1,938.57, 2,893.79 and 1,659.72 is: 2,477.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.57 : 2,893.79 = 1,659.72 : x
  2. Step 2: Convert to fraction form
    1,938.57/2,893.79 = 1,659.72/x
  3. Step 3: Cross multiply
    1,938.57x = 2,893.79 × 1,659.72
  4. Step 4: Simplify right side
    1,938.57x = 4,802,881.14
  5. Step 5: Solve for x
    x = 4,802,881.14/1,938.57
  6. Step 6: Final answer
    x = 2,477.54

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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.