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Finding the Fourth Proportional to 9,813.95, 13,537.48 and 6,174.21

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Solution

The fourth proportional to 9,813.95, 13,537.48 and 6,174.21 is: 8,516.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.95 : 13,537.48 = 6,174.21 : x
  2. Step 2: Convert to fraction form
    9,813.95/13,537.48 = 6,174.21/x
  3. Step 3: Cross multiply
    9,813.95x = 13,537.48 × 6,174.21
  4. Step 4: Simplify right side
    9,813.95x = 83,583,176.70
  5. Step 5: Solve for x
    x = 83,583,176.70/9,813.95
  6. Step 6: Final answer
    x = 8,516.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.