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Finding the Fourth Proportional to 38,176, 52,682.88 and 21,409

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Solution

The fourth proportional to 38,176, 52,682.88 and 21,409 is: 29,544.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,176 : 52,682.88 = 21,409 : x
  2. Step 2: Convert to fraction form
    38,176/52,682.88 = 21,409/x
  3. Step 3: Cross multiply
    38,176x = 52,682.88 × 21,409
  4. Step 4: Simplify right side
    38,176x = 1,127,887,777.92
  5. Step 5: Solve for x
    x = 1,127,887,777.92/38,176
  6. Step 6: Final answer
    x = 29,544.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.