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Finding the Fourth Proportional to 27,125.97, 40,688.94 and 7,405.05

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Solution

The fourth proportional to 27,125.97, 40,688.94 and 7,405.05 is: 11,107.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,125.97 : 40,688.94 = 7,405.05 : x
  2. Step 2: Convert to fraction form
    27,125.97/40,688.94 = 7,405.05/x
  3. Step 3: Cross multiply
    27,125.97x = 40,688.94 × 7,405.05
  4. Step 4: Simplify right side
    27,125.97x = 301,303,635.15
  5. Step 5: Solve for x
    x = 301,303,635.15/27,125.97
  6. Step 6: Final answer
    x = 11,107.57

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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.