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Finding the Fourth Proportional to 9,938.58, 13,729.22 and 9,413.70

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Solution

The fourth proportional to 9,938.58, 13,729.22 and 9,413.70 is: 13,004.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.58 : 13,729.22 = 9,413.70 : x
  2. Step 2: Convert to fraction form
    9,938.58/13,729.22 = 9,413.70/x
  3. Step 3: Cross multiply
    9,938.58x = 13,729.22 × 9,413.70
  4. Step 4: Simplify right side
    9,938.58x = 129,242,758.31
  5. Step 5: Solve for x
    x = 129,242,758.31/9,938.58
  6. Step 6: Final answer
    x = 13,004.15

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1.5x scale

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.