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Finding the Fourth Proportional to 57,383, 86,074.52 and 15,830

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Solution

The fourth proportional to 57,383, 86,074.52 and 15,830 is: 23,745.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,383 : 86,074.52 = 15,830 : x
  2. Step 2: Convert to fraction form
    57,383/86,074.52 = 15,830/x
  3. Step 3: Cross multiply
    57,383x = 86,074.52 × 15,830
  4. Step 4: Simplify right side
    57,383x = 1,362,559,651.60
  5. Step 5: Solve for x
    x = 1,362,559,651.60/57,383
  6. Step 6: Final answer
    x = 23,745.01

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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.