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Finding the Fourth Proportional to 57,486, 86,229 and 15,933

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Solution

The fourth proportional to 57,486, 86,229 and 15,933 is: 23,899.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,486 : 86,229 = 15,933 : x
  2. Step 2: Convert to fraction form
    57,486/86,229 = 15,933/x
  3. Step 3: Cross multiply
    57,486x = 86,229 × 15,933
  4. Step 4: Simplify right side
    57,486x = 1,373,886,657
  5. Step 5: Solve for x
    x = 1,373,886,657/57,486
  6. Step 6: Final answer
    x = 23,899.50

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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.