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Finding the Fourth Proportional to 28,989, 43,483.50 and 8,212.50

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Solution

The fourth proportional to 28,989, 43,483.50 and 8,212.50 is: 12,318.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,989 : 43,483.50 = 8,212.50 : x
  2. Step 2: Convert to fraction form
    28,989/43,483.50 = 8,212.50/x
  3. Step 3: Cross multiply
    28,989x = 43,483.50 × 8,212.50
  4. Step 4: Simplify right side
    28,989x = 357,108,243.75
  5. Step 5: Solve for x
    x = 357,108,243.75/28,989
  6. Step 6: Final answer
    x = 12,318.75

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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.