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Finding the Fourth Proportional to 57,602, 86,403 and 13,826

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Solution

The fourth proportional to 57,602, 86,403 and 13,826 is: 20,739

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,602 : 86,403 = 13,826 : x
  2. Step 2: Convert to fraction form
    57,602/86,403 = 13,826/x
  3. Step 3: Cross multiply
    57,602x = 86,403 × 13,826
  4. Step 4: Simplify right side
    57,602x = 1,194,607,878
  5. Step 5: Solve for x
    x = 1,194,607,878/57,602
  6. Step 6: Final answer
    x = 20,739

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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.