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Finding the Fourth Proportional to 10,915.80, 16,362.90 and 5,364.60

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Solution

The fourth proportional to 10,915.80, 16,362.90 and 5,364.60 is: 8,041.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,915.80 : 16,362.90 = 5,364.60 : x
  2. Step 2: Convert to fraction form
    10,915.80/16,362.90 = 5,364.60/x
  3. Step 3: Cross multiply
    10,915.80x = 16,362.90 × 5,364.60
  4. Step 4: Simplify right side
    10,915.80x = 87,780,413.34
  5. Step 5: Solve for x
    x = 87,780,413.34/10,915.80
  6. Step 6: Final answer
    x = 8,041.59

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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.