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Finding the Fourth Proportional to 27,077.29, 40,629.60 and 12,276.77

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Solution

The fourth proportional to 27,077.29, 40,629.60 and 12,276.77 is: 18,421.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,077.29 : 40,629.60 = 12,276.77 : x
  2. Step 2: Convert to fraction form
    27,077.29/40,629.60 = 12,276.77/x
  3. Step 3: Cross multiply
    27,077.29x = 40,629.60 × 12,276.77
  4. Step 4: Simplify right side
    27,077.29x = 498,800,051.24
  5. Step 5: Solve for x
    x = 498,800,051.24/27,077.29
  6. Step 6: Final answer
    x = 18,421.34

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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.