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Finding the Fourth Proportional to 14,483.78, 21,741.03 and 12,828.65

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Solution

The fourth proportional to 14,483.78, 21,741.03 and 12,828.65 is: 19,256.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,483.78 : 21,741.03 = 12,828.65 : x
  2. Step 2: Convert to fraction form
    14,483.78/21,741.03 = 12,828.65/x
  3. Step 3: Cross multiply
    14,483.78x = 21,741.03 × 12,828.65
  4. Step 4: Simplify right side
    14,483.78x = 278,907,891.66
  5. Step 5: Solve for x
    x = 278,907,891.66/14,483.78
  6. Step 6: Final answer
    x = 19,256.57

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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.