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Finding the Fourth Proportional to 3,066.56, 4,600.49 and 986.72

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Solution

The fourth proportional to 3,066.56, 4,600.49 and 986.72 is: 1,480.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.56 : 4,600.49 = 986.72 : x
  2. Step 2: Convert to fraction form
    3,066.56/4,600.49 = 986.72/x
  3. Step 3: Cross multiply
    3,066.56x = 4,600.49 × 986.72
  4. Step 4: Simplify right side
    3,066.56x = 4,539,395.49
  5. Step 5: Solve for x
    x = 4,539,395.49/3,066.56
  6. Step 6: Final answer
    x = 1,480.29

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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.