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Finding the Fourth Proportional to 57,871.84, 86,784 and 18,418.36

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Solution

The fourth proportional to 57,871.84, 86,784 and 18,418.36 is: 27,619.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,871.84 : 86,784 = 18,418.36 : x
  2. Step 2: Convert to fraction form
    57,871.84/86,784 = 18,418.36/x
  3. Step 3: Cross multiply
    57,871.84x = 86,784 × 18,418.36
  4. Step 4: Simplify right side
    57,871.84x = 1,598,418,954.24
  5. Step 5: Solve for x
    x = 1,598,418,954.24/57,871.84
  6. Step 6: Final answer
    x = 27,619.98

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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.