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Finding the Fourth Proportional to 1,731.92, 2,390.36 and 986.09

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Solution

The fourth proportional to 1,731.92, 2,390.36 and 986.09 is: 1,360.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.92 : 2,390.36 = 986.09 : x
  2. Step 2: Convert to fraction form
    1,731.92/2,390.36 = 986.09/x
  3. Step 3: Cross multiply
    1,731.92x = 2,390.36 × 986.09
  4. Step 4: Simplify right side
    1,731.92x = 2,357,093.21
  5. Step 5: Solve for x
    x = 2,357,093.21/1,731.92
  6. Step 6: Final answer
    x = 1,360.98

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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.