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Finding the Fourth Proportional to 12,622, 17,418.48 and 7,033.12

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Solution

The fourth proportional to 12,622, 17,418.48 and 7,033.12 is: 9,705.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,622 : 17,418.48 = 7,033.12 : x
  2. Step 2: Convert to fraction form
    12,622/17,418.48 = 7,033.12/x
  3. Step 3: Cross multiply
    12,622x = 17,418.48 × 7,033.12
  4. Step 4: Simplify right side
    12,622x = 122,506,260.06
  5. Step 5: Solve for x
    x = 122,506,260.06/12,622
  6. Step 6: Final answer
    x = 9,705.77

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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.