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Finding the Fourth Proportional to 30,262, 45,400.29 and 9,485.50

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Solution

The fourth proportional to 30,262, 45,400.29 and 9,485.50 is: 14,230.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,262 : 45,400.29 = 9,485.50 : x
  2. Step 2: Convert to fraction form
    30,262/45,400.29 = 9,485.50/x
  3. Step 3: Cross multiply
    30,262x = 45,400.29 × 9,485.50
  4. Step 4: Simplify right side
    30,262x = 430,644,450.80
  5. Step 5: Solve for x
    x = 430,644,450.80/30,262
  6. Step 6: Final answer
    x = 14,230.54

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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.