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Finding the Fourth Proportional to 12,647.42, 17,454.41 and 6,983.26

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Solution

The fourth proportional to 12,647.42, 17,454.41 and 6,983.26 is: 9,637.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647.42 : 17,454.41 = 6,983.26 : x
  2. Step 2: Convert to fraction form
    12,647.42/17,454.41 = 6,983.26/x
  3. Step 3: Cross multiply
    12,647.42x = 17,454.41 × 6,983.26
  4. Step 4: Simplify right side
    12,647.42x = 121,888,683.18
  5. Step 5: Solve for x
    x = 121,888,683.18/12,647.42
  6. Step 6: Final answer
    x = 9,637.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.