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Finding the Fourth Proportional to 12,684.78, 18,971.28 and 11,522.16

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Solution

The fourth proportional to 12,684.78, 18,971.28 and 11,522.16 is: 17,232.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,684.78 : 18,971.28 = 11,522.16 : x
  2. Step 2: Convert to fraction form
    12,684.78/18,971.28 = 11,522.16/x
  3. Step 3: Cross multiply
    12,684.78x = 18,971.28 × 11,522.16
  4. Step 4: Simplify right side
    12,684.78x = 218,590,123.56
  5. Step 5: Solve for x
    x = 218,590,123.56/12,684.78
  6. Step 6: Final answer
    x = 17,232.47

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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.