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Finding the Fourth Proportional to 12,647.42, 18,973.95 and 3,883.22

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Solution

The fourth proportional to 12,647.42, 18,973.95 and 3,883.22 is: 5,825.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647.42 : 18,973.95 = 3,883.22 : x
  2. Step 2: Convert to fraction form
    12,647.42/18,973.95 = 3,883.22/x
  3. Step 3: Cross multiply
    12,647.42x = 18,973.95 × 3,883.22
  4. Step 4: Simplify right side
    12,647.42x = 73,680,022.12
  5. Step 5: Solve for x
    x = 73,680,022.12/12,647.42
  6. Step 6: Final answer
    x = 5,825.70

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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.