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Finding the Fourth Proportional to 13,676.77, 20,508 and 6,274.81

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Solution

The fourth proportional to 13,676.77, 20,508 and 6,274.81 is: 9,408.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.77 : 20,508 = 6,274.81 : x
  2. Step 2: Convert to fraction form
    13,676.77/20,508 = 6,274.81/x
  3. Step 3: Cross multiply
    13,676.77x = 20,508 × 6,274.81
  4. Step 4: Simplify right side
    13,676.77x = 128,683,803.48
  5. Step 5: Solve for x
    x = 128,683,803.48/13,676.77
  6. Step 6: Final answer
    x = 9,408.93

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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.