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Finding the Fourth Proportional to 1,911.30, 2,866.77 and 986.37

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Solution

The fourth proportional to 1,911.30, 2,866.77 and 986.37 is: 1,479.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.30 : 2,866.77 = 986.37 : x
  2. Step 2: Convert to fraction form
    1,911.30/2,866.77 = 986.37/x
  3. Step 3: Cross multiply
    1,911.30x = 2,866.77 × 986.37
  4. Step 4: Simplify right side
    1,911.30x = 2,827,695.92
  5. Step 5: Solve for x
    x = 2,827,695.92/1,911.30
  6. Step 6: Final answer
    x = 1,479.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.