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Finding the Fourth Proportional to 12,647.66, 18,969.12 and 4,214.28

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Solution

The fourth proportional to 12,647.66, 18,969.12 and 4,214.28 is: 6,320.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647.66 : 18,969.12 = 4,214.28 : x
  2. Step 2: Convert to fraction form
    12,647.66/18,969.12 = 4,214.28/x
  3. Step 3: Cross multiply
    12,647.66x = 18,969.12 × 4,214.28
  4. Step 4: Simplify right side
    12,647.66x = 79,941,183.03
  5. Step 5: Solve for x
    x = 79,941,183.03/12,647.66
  6. Step 6: Final answer
    x = 6,320.63

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1.5x scale

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.