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Finding the Fourth Proportional to 14,531, 20,052.78 and 7,907

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Solution

The fourth proportional to 14,531, 20,052.78 and 7,907 is: 10,911.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,531 : 20,052.78 = 7,907 : x
  2. Step 2: Convert to fraction form
    14,531/20,052.78 = 7,907/x
  3. Step 3: Cross multiply
    14,531x = 20,052.78 × 7,907
  4. Step 4: Simplify right side
    14,531x = 158,557,331.46
  5. Step 5: Solve for x
    x = 158,557,331.46/14,531
  6. Step 6: Final answer
    x = 10,911.66

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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.