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Finding the Fourth Proportional to 18,913.50, 26,101.44 and 10,530

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Solution

The fourth proportional to 18,913.50, 26,101.44 and 10,530 is: 14,531.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,913.50 : 26,101.44 = 10,530 : x
  2. Step 2: Convert to fraction form
    18,913.50/26,101.44 = 10,530/x
  3. Step 3: Cross multiply
    18,913.50x = 26,101.44 × 10,530
  4. Step 4: Simplify right side
    18,913.50x = 274,848,163.20
  5. Step 5: Solve for x
    x = 274,848,163.20/18,913.50
  6. Step 6: Final answer
    x = 14,531.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.