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Finding the Fourth Proportional to 27,142.20, 40,698.90 and 9,612.60

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Solution

The fourth proportional to 27,142.20, 40,698.90 and 9,612.60 is: 14,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,142.20 : 40,698.90 = 9,612.60 : x
  2. Step 2: Convert to fraction form
    27,142.20/40,698.90 = 9,612.60/x
  3. Step 3: Cross multiply
    27,142.20x = 40,698.90 × 9,612.60
  4. Step 4: Simplify right side
    27,142.20x = 391,222,246.14
  5. Step 5: Solve for x
    x = 391,222,246.14/27,142.20
  6. Step 6: Final answer
    x = 14,413.80

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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.