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Finding the Fourth Proportional to 27,261.09, 40,905.60 and 13,410.09

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Solution

The fourth proportional to 27,261.09, 40,905.60 and 13,410.09 is: 20,122.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,261.09 : 40,905.60 = 13,410.09 : x
  2. Step 2: Convert to fraction form
    27,261.09/40,905.60 = 13,410.09/x
  3. Step 3: Cross multiply
    27,261.09x = 40,905.60 × 13,410.09
  4. Step 4: Simplify right side
    27,261.09x = 548,547,777.50
  5. Step 5: Solve for x
    x = 548,547,777.50/27,261.09
  6. Step 6: Final answer
    x = 20,122.00

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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.