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Finding the Fourth Proportional to 9,172.98, 13,761.50 and 3,907.98

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Solution

The fourth proportional to 9,172.98, 13,761.50 and 3,907.98 is: 5,862.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,172.98 : 13,761.50 = 3,907.98 : x
  2. Step 2: Convert to fraction form
    9,172.98/13,761.50 = 3,907.98/x
  3. Step 3: Cross multiply
    9,172.98x = 13,761.50 × 3,907.98
  4. Step 4: Simplify right side
    9,172.98x = 53,779,647.23
  5. Step 5: Solve for x
    x = 53,779,647.23/9,172.98
  6. Step 6: Final answer
    x = 5,862.83

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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.