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Finding the Fourth Proportional to 13,413.70, 18,506.62 and 7,747.70

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Solution

The fourth proportional to 13,413.70, 18,506.62 and 7,747.70 is: 10,689.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,413.70 : 18,506.62 = 7,747.70 : x
  2. Step 2: Convert to fraction form
    13,413.70/18,506.62 = 7,747.70/x
  3. Step 3: Cross multiply
    13,413.70x = 18,506.62 × 7,747.70
  4. Step 4: Simplify right side
    13,413.70x = 143,383,739.77
  5. Step 5: Solve for x
    x = 143,383,739.77/13,413.70
  6. Step 6: Final answer
    x = 10,689.35

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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.