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Finding the Fourth Proportional to 12,642.83, 18,965.16 and 4,851.64

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Solution

The fourth proportional to 12,642.83, 18,965.16 and 4,851.64 is: 7,277.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.83 : 18,965.16 = 4,851.64 : x
  2. Step 2: Convert to fraction form
    12,642.83/18,965.16 = 4,851.64/x
  3. Step 3: Cross multiply
    12,642.83x = 18,965.16 × 4,851.64
  4. Step 4: Simplify right side
    12,642.83x = 92,012,104.60
  5. Step 5: Solve for x
    x = 92,012,104.60/12,642.83
  6. Step 6: Final answer
    x = 7,277.81

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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.