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Finding the Fourth Proportional to 13,406, 18,500.28 and 7,437.56

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Solution

The fourth proportional to 13,406, 18,500.28 and 7,437.56 is: 10,263.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406 : 18,500.28 = 7,437.56 : x
  2. Step 2: Convert to fraction form
    13,406/18,500.28 = 7,437.56/x
  3. Step 3: Cross multiply
    13,406x = 18,500.28 × 7,437.56
  4. Step 4: Simplify right side
    13,406x = 137,596,942.52
  5. Step 5: Solve for x
    x = 137,596,942.52/13,406
  6. Step 6: Final answer
    x = 10,263.83

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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.