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Finding the Fourth Proportional to 17,938.64, 26,907.98 and 8,076.08

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Solution

The fourth proportional to 17,938.64, 26,907.98 and 8,076.08 is: 12,114.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,938.64 : 26,907.98 = 8,076.08 : x
  2. Step 2: Convert to fraction form
    17,938.64/26,907.98 = 8,076.08/x
  3. Step 3: Cross multiply
    17,938.64x = 26,907.98 × 8,076.08
  4. Step 4: Simplify right side
    17,938.64x = 217,310,999.12
  5. Step 5: Solve for x
    x = 217,310,999.12/17,938.64
  6. Step 6: Final answer
    x = 12,114.13

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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.