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Finding the Fourth Proportional to 18,738, 28,114.29 and 7,052.13

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Solution

The fourth proportional to 18,738, 28,114.29 and 7,052.13 is: 10,580.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,738 : 28,114.29 = 7,052.13 : x
  2. Step 2: Convert to fraction form
    18,738/28,114.29 = 7,052.13/x
  3. Step 3: Cross multiply
    18,738x = 28,114.29 × 7,052.13
  4. Step 4: Simplify right side
    18,738x = 198,265,627.94
  5. Step 5: Solve for x
    x = 198,265,627.94/18,738
  6. Step 6: Final answer
    x = 10,580.94

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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.