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Finding the Fourth Proportional to 27,997.60, 42,255.64 and 27,997.60

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Solution

The fourth proportional to 27,997.60, 42,255.64 and 27,997.60 is: 42,255.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,997.60 : 42,255.64 = 27,997.60 : x
  2. Step 2: Convert to fraction form
    27,997.60/42,255.64 = 27,997.60/x
  3. Step 3: Cross multiply
    27,997.60x = 42,255.64 × 27,997.60
  4. Step 4: Simplify right side
    27,997.60x = 1,183,056,506.46
  5. Step 5: Solve for x
    x = 1,183,056,506.46/27,997.60
  6. Step 6: Final answer
    x = 42,255.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.