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Finding the Fourth Proportional to 12,129.51, 16,734.60 and 6,823.20

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Solution

The fourth proportional to 12,129.51, 16,734.60 and 6,823.20 is: 9,413.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.51 : 16,734.60 = 6,823.20 : x
  2. Step 2: Convert to fraction form
    12,129.51/16,734.60 = 6,823.20/x
  3. Step 3: Cross multiply
    12,129.51x = 16,734.60 × 6,823.20
  4. Step 4: Simplify right side
    12,129.51x = 114,183,522.72
  5. Step 5: Solve for x
    x = 114,183,522.72/12,129.51
  6. Step 6: Final answer
    x = 9,413.70

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Half scale
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Double scale
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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.