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Finding the Fourth Proportional to 2,986.02, 4,472.55 and 1,887.66

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Solution

The fourth proportional to 2,986.02, 4,472.55 and 1,887.66 is: 2,827.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.02 : 4,472.55 = 1,887.66 : x
  2. Step 2: Convert to fraction form
    2,986.02/4,472.55 = 1,887.66/x
  3. Step 3: Cross multiply
    2,986.02x = 4,472.55 × 1,887.66
  4. Step 4: Simplify right side
    2,986.02x = 8,442,653.73
  5. Step 5: Solve for x
    x = 8,442,653.73/2,986.02
  6. Step 6: Final answer
    x = 2,827.39

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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.