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Finding the Fourth Proportional to 20,995.88, 31,495.64 and 5,413.50

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Solution

The fourth proportional to 20,995.88, 31,495.64 and 5,413.50 is: 8,120.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,995.88 : 31,495.64 = 5,413.50 : x
  2. Step 2: Convert to fraction form
    20,995.88/31,495.64 = 5,413.50/x
  3. Step 3: Cross multiply
    20,995.88x = 31,495.64 × 5,413.50
  4. Step 4: Simplify right side
    20,995.88x = 170,501,620.07
  5. Step 5: Solve for x
    x = 170,501,620.07/20,995.88
  6. Step 6: Final answer
    x = 8,120.72

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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.