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Finding the Fourth Proportional to 57,420, 86,130 and 15,867

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Solution

The fourth proportional to 57,420, 86,130 and 15,867 is: 23,800.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,420 : 86,130 = 15,867 : x
  2. Step 2: Convert to fraction form
    57,420/86,130 = 15,867/x
  3. Step 3: Cross multiply
    57,420x = 86,130 × 15,867
  4. Step 4: Simplify right side
    57,420x = 1,366,624,710
  5. Step 5: Solve for x
    x = 1,366,624,710/57,420
  6. Step 6: Final answer
    x = 23,800.50

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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.