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Finding the Fourth Proportional to 57,663, 86,494.58 and 13,887

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Solution

The fourth proportional to 57,663, 86,494.58 and 13,887 is: 20,830.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,663 : 86,494.58 = 13,887 : x
  2. Step 2: Convert to fraction form
    57,663/86,494.58 = 13,887/x
  3. Step 3: Cross multiply
    57,663x = 86,494.58 × 13,887
  4. Step 4: Simplify right side
    57,663x = 1,201,150,232.46
  5. Step 5: Solve for x
    x = 1,201,150,232.46/57,663
  6. Step 6: Final answer
    x = 20,830.52

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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.