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Finding the Fourth Proportional to 38,248, 52,782.26 and 21,481

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Solution

The fourth proportional to 38,248, 52,782.26 and 21,481 is: 29,643.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,248 : 52,782.26 = 21,481 : x
  2. Step 2: Convert to fraction form
    38,248/52,782.26 = 21,481/x
  3. Step 3: Cross multiply
    38,248x = 52,782.26 × 21,481
  4. Step 4: Simplify right side
    38,248x = 1,133,815,727.06
  5. Step 5: Solve for x
    x = 1,133,815,727.06/38,248
  6. Step 6: Final answer
    x = 29,643.79

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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.