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Finding the Fourth Proportional to 12,242.75, 16,895 and 6,653.75

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Solution

The fourth proportional to 12,242.75, 16,895 and 6,653.75 is: 9,182.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,242.75 : 16,895 = 6,653.75 : x
  2. Step 2: Convert to fraction form
    12,242.75/16,895 = 6,653.75/x
  3. Step 3: Cross multiply
    12,242.75x = 16,895 × 6,653.75
  4. Step 4: Simplify right side
    12,242.75x = 112,415,106.25
  5. Step 5: Solve for x
    x = 112,415,106.25/12,242.75
  6. Step 6: Final answer
    x = 9,182.18

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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.