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Finding the Fourth Proportional to 43,507, 65,260.52 and 18,883

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Solution

The fourth proportional to 43,507, 65,260.52 and 18,883 is: 28,324.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,507 : 65,260.52 = 18,883 : x
  2. Step 2: Convert to fraction form
    43,507/65,260.52 = 18,883/x
  3. Step 3: Cross multiply
    43,507x = 65,260.52 × 18,883
  4. Step 4: Simplify right side
    43,507x = 1,232,314,399.16
  5. Step 5: Solve for x
    x = 1,232,314,399.16/43,507
  6. Step 6: Final answer
    x = 28,324.51

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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.