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Finding the Fourth Proportional to 11,321.32, 16,959.88 and 7,413.88

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Solution

The fourth proportional to 11,321.32, 16,959.88 and 7,413.88 is: 11,106.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,321.32 : 16,959.88 = 7,413.88 : x
  2. Step 2: Convert to fraction form
    11,321.32/16,959.88 = 7,413.88/x
  3. Step 3: Cross multiply
    11,321.32x = 16,959.88 × 7,413.88
  4. Step 4: Simplify right side
    11,321.32x = 125,738,430.34
  5. Step 5: Solve for x
    x = 125,738,430.34/11,321.32
  6. Step 6: Final answer
    x = 11,106.35

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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.