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Finding the Fourth Proportional to 10,611.72, 14,630.38 and 6,828.12

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Solution

The fourth proportional to 10,611.72, 14,630.38 and 6,828.12 is: 9,413.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.72 : 14,630.38 = 6,828.12 : x
  2. Step 2: Convert to fraction form
    10,611.72/14,630.38 = 6,828.12/x
  3. Step 3: Cross multiply
    10,611.72x = 14,630.38 × 6,828.12
  4. Step 4: Simplify right side
    10,611.72x = 99,897,990.29
  5. Step 5: Solve for x
    x = 99,897,990.29/10,611.72
  6. Step 6: Final answer
    x = 9,413.93

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Half scale
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Similar ratio
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1.5x scale

Why These Related Problems?

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