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Finding the Fourth Proportional to 14,930, 20,603.48 and 8,306

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Solution

The fourth proportional to 14,930, 20,603.48 and 8,306 is: 11,462.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,930 : 20,603.48 = 8,306 : x
  2. Step 2: Convert to fraction form
    14,930/20,603.48 = 8,306/x
  3. Step 3: Cross multiply
    14,930x = 20,603.48 × 8,306
  4. Step 4: Simplify right side
    14,930x = 171,132,504.88
  5. Step 5: Solve for x
    x = 171,132,504.88/14,930
  6. Step 6: Final answer
    x = 11,462.32

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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.