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Finding the Fourth Proportional to 43,989, 65,983.50 and 19,365

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Solution

The fourth proportional to 43,989, 65,983.50 and 19,365 is: 29,047.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,989 : 65,983.50 = 19,365 : x
  2. Step 2: Convert to fraction form
    43,989/65,983.50 = 19,365/x
  3. Step 3: Cross multiply
    43,989x = 65,983.50 × 19,365
  4. Step 4: Simplify right side
    43,989x = 1,277,770,477.50
  5. Step 5: Solve for x
    x = 1,277,770,477.50/43,989
  6. Step 6: Final answer
    x = 29,047.50

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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.