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Finding the Fourth Proportional to 12,173.78, 16,802.22 and 6,868.70

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Solution

The fourth proportional to 12,173.78, 16,802.22 and 6,868.70 is: 9,480.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,173.78 : 16,802.22 = 6,868.70 : x
  2. Step 2: Convert to fraction form
    12,173.78/16,802.22 = 6,868.70/x
  3. Step 3: Cross multiply
    12,173.78x = 16,802.22 × 6,868.70
  4. Step 4: Simplify right side
    12,173.78x = 115,409,408.51
  5. Step 5: Solve for x
    x = 115,409,408.51/12,173.78
  6. Step 6: Final answer
    x = 9,480.16

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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.