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Finding the Fourth Proportional to 27,003.34, 40,505 and 10,140.22

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Solution

The fourth proportional to 27,003.34, 40,505 and 10,140.22 is: 15,210.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,003.34 : 40,505 = 10,140.22 : x
  2. Step 2: Convert to fraction form
    27,003.34/40,505 = 10,140.22/x
  3. Step 3: Cross multiply
    27,003.34x = 40,505 × 10,140.22
  4. Step 4: Simplify right side
    27,003.34x = 410,729,611.10
  5. Step 5: Solve for x
    x = 410,729,611.10/27,003.34
  6. Step 6: Final answer
    x = 15,210.33

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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.