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Finding the Fourth Proportional to 27,135.40, 40,708.91 and 8,415.03

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Solution

The fourth proportional to 27,135.40, 40,708.91 and 8,415.03 is: 12,624.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,135.40 : 40,708.91 = 8,415.03 : x
  2. Step 2: Convert to fraction form
    27,135.40/40,708.91 = 8,415.03/x
  3. Step 3: Cross multiply
    27,135.40x = 40,708.91 × 8,415.03
  4. Step 4: Simplify right side
    27,135.40x = 342,566,495.37
  5. Step 5: Solve for x
    x = 342,566,495.37/27,135.40
  6. Step 6: Final answer
    x = 12,624.34

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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.