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Finding the Fourth Proportional to 14,379, 21,570.66 and 5,147.16

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Solution

The fourth proportional to 14,379, 21,570.66 and 5,147.16 is: 7,721.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,379 : 21,570.66 = 5,147.16 : x
  2. Step 2: Convert to fraction form
    14,379/21,570.66 = 5,147.16/x
  3. Step 3: Cross multiply
    14,379x = 21,570.66 × 5,147.16
  4. Step 4: Simplify right side
    14,379x = 111,027,638.33
  5. Step 5: Solve for x
    x = 111,027,638.33/14,379
  6. Step 6: Final answer
    x = 7,721.51

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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.