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Finding the Fourth Proportional to 27,005, 37,268.34 and 15,830.60

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Solution

The fourth proportional to 27,005, 37,268.34 and 15,830.60 is: 21,847.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,005 : 37,268.34 = 15,830.60 : x
  2. Step 2: Convert to fraction form
    27,005/37,268.34 = 15,830.60/x
  3. Step 3: Cross multiply
    27,005x = 37,268.34 × 15,830.60
  4. Step 4: Simplify right side
    27,005x = 589,980,183.20
  5. Step 5: Solve for x
    x = 589,980,183.20/27,005
  6. Step 6: Final answer
    x = 21,847.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.