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Finding the Fourth Proportional to 28,755, 43,132.50 and 9,299

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Solution

The fourth proportional to 28,755, 43,132.50 and 9,299 is: 13,948.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,755 : 43,132.50 = 9,299 : x
  2. Step 2: Convert to fraction form
    28,755/43,132.50 = 9,299/x
  3. Step 3: Cross multiply
    28,755x = 43,132.50 × 9,299
  4. Step 4: Simplify right side
    28,755x = 401,089,117.50
  5. Step 5: Solve for x
    x = 401,089,117.50/28,755
  6. Step 6: Final answer
    x = 13,948.50

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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.