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Finding the Fourth Proportional to 20,978.01, 31,466.85 and 8,497.85

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Solution

The fourth proportional to 20,978.01, 31,466.85 and 8,497.85 is: 12,746.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978.01 : 31,466.85 = 8,497.85 : x
  2. Step 2: Convert to fraction form
    20,978.01/31,466.85 = 8,497.85/x
  3. Step 3: Cross multiply
    20,978.01x = 31,466.85 × 8,497.85
  4. Step 4: Simplify right side
    20,978.01x = 267,400,413.94
  5. Step 5: Solve for x
    x = 267,400,413.94/20,978.01
  6. Step 6: Final answer
    x = 12,746.70

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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.