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Finding the Fourth Proportional to 12,646.53, 18,964.53 and 4,324.86

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Solution

The fourth proportional to 12,646.53, 18,964.53 and 4,324.86 is: 6,485.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.53 : 18,964.53 = 4,324.86 : x
  2. Step 2: Convert to fraction form
    12,646.53/18,964.53 = 4,324.86/x
  3. Step 3: Cross multiply
    12,646.53x = 18,964.53 × 4,324.86
  4. Step 4: Simplify right side
    12,646.53x = 82,018,937.22
  5. Step 5: Solve for x
    x = 82,018,937.22/12,646.53
  6. Step 6: Final answer
    x = 6,485.49

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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.