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Finding the Fourth Proportional to 30,900.50, 46,352.19 and 9,012.50

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Solution

The fourth proportional to 30,900.50, 46,352.19 and 9,012.50 is: 13,519.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,900.50 : 46,352.19 = 9,012.50 : x
  2. Step 2: Convert to fraction form
    30,900.50/46,352.19 = 9,012.50/x
  3. Step 3: Cross multiply
    30,900.50x = 46,352.19 × 9,012.50
  4. Step 4: Simplify right side
    30,900.50x = 417,749,112.38
  5. Step 5: Solve for x
    x = 417,749,112.38/30,900.50
  6. Step 6: Final answer
    x = 13,519.17

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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.