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Finding the Fourth Proportional to 30,900, 46,351.44 and 9,012

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Solution

The fourth proportional to 30,900, 46,351.44 and 9,012 is: 13,518.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,900 : 46,351.44 = 9,012 : x
  2. Step 2: Convert to fraction form
    30,900/46,351.44 = 9,012/x
  3. Step 3: Cross multiply
    30,900x = 46,351.44 × 9,012
  4. Step 4: Simplify right side
    30,900x = 417,719,177.28
  5. Step 5: Solve for x
    x = 417,719,177.28/30,900
  6. Step 6: Final answer
    x = 13,518.42

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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.