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Finding the Fourth Proportional to 57,660, 86,490.08 and 13,884

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Solution

The fourth proportional to 57,660, 86,490.08 and 13,884 is: 20,826.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,660 : 86,490.08 = 13,884 : x
  2. Step 2: Convert to fraction form
    57,660/86,490.08 = 13,884/x
  3. Step 3: Cross multiply
    57,660x = 86,490.08 × 13,884
  4. Step 4: Simplify right side
    57,660x = 1,200,828,270.72
  5. Step 5: Solve for x
    x = 1,200,828,270.72/57,660
  6. Step 6: Final answer
    x = 20,826.02

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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.