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Finding the Fourth Proportional to 18,855.48, 28,283.70 and 13,011

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Solution

The fourth proportional to 18,855.48, 28,283.70 and 13,011 is: 19,516.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,855.48 : 28,283.70 = 13,011 : x
  2. Step 2: Convert to fraction form
    18,855.48/28,283.70 = 13,011/x
  3. Step 3: Cross multiply
    18,855.48x = 28,283.70 × 13,011
  4. Step 4: Simplify right side
    18,855.48x = 367,999,220.70
  5. Step 5: Solve for x
    x = 367,999,220.70/18,855.48
  6. Step 6: Final answer
    x = 19,516.83

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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.