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Finding the Fourth Proportional to 2,138.67, 2,947.34 and 1,712.81

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Solution

The fourth proportional to 2,138.67, 2,947.34 and 1,712.81 is: 2,360.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.67 : 2,947.34 = 1,712.81 : x
  2. Step 2: Convert to fraction form
    2,138.67/2,947.34 = 1,712.81/x
  3. Step 3: Cross multiply
    2,138.67x = 2,947.34 × 1,712.81
  4. Step 4: Simplify right side
    2,138.67x = 5,048,235.44
  5. Step 5: Solve for x
    x = 5,048,235.44/2,138.67
  6. Step 6: Final answer
    x = 2,360.46

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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.