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Finding the Fourth Proportional to 6,413.85, 9,620.78 and 5,123.52

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Solution

The fourth proportional to 6,413.85, 9,620.78 and 5,123.52 is: 7,685.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.85 : 9,620.78 = 5,123.52 : x
  2. Step 2: Convert to fraction form
    6,413.85/9,620.78 = 5,123.52/x
  3. Step 3: Cross multiply
    6,413.85x = 9,620.78 × 5,123.52
  4. Step 4: Simplify right side
    6,413.85x = 49,292,258.75
  5. Step 5: Solve for x
    x = 49,292,258.75/6,413.85
  6. Step 6: Final answer
    x = 7,685.28

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Half scale
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Double scale
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Similar ratio
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1.5x scale

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.