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Finding the Fourth Proportional to 2,887.74, 3,986.10 and 1,709.82

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Solution

The fourth proportional to 2,887.74, 3,986.10 and 1,709.82 is: 2,360.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.74 : 3,986.10 = 1,709.82 : x
  2. Step 2: Convert to fraction form
    2,887.74/3,986.10 = 1,709.82/x
  3. Step 3: Cross multiply
    2,887.74x = 3,986.10 × 1,709.82
  4. Step 4: Simplify right side
    2,887.74x = 6,815,513.50
  5. Step 5: Solve for x
    x = 6,815,513.50/2,887.74
  6. Step 6: Final answer
    x = 2,360.15

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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.