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Finding the Fourth Proportional to 33,989, 50,983.50 and 9,365

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Solution

The fourth proportional to 33,989, 50,983.50 and 9,365 is: 14,047.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,989 : 50,983.50 = 9,365 : x
  2. Step 2: Convert to fraction form
    33,989/50,983.50 = 9,365/x
  3. Step 3: Cross multiply
    33,989x = 50,983.50 × 9,365
  4. Step 4: Simplify right side
    33,989x = 477,460,477.50
  5. Step 5: Solve for x
    x = 477,460,477.50/33,989
  6. Step 6: Final answer
    x = 14,047.50

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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.