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Finding the Fourth Proportional to 38,276, 52,825.83 and 21,509

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Solution

The fourth proportional to 38,276, 52,825.83 and 21,509 is: 29,685.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,276 : 52,825.83 = 21,509 : x
  2. Step 2: Convert to fraction form
    38,276/52,825.83 = 21,509/x
  3. Step 3: Cross multiply
    38,276x = 52,825.83 × 21,509
  4. Step 4: Simplify right side
    38,276x = 1,136,230,777.47
  5. Step 5: Solve for x
    x = 1,136,230,777.47/38,276
  6. Step 6: Final answer
    x = 29,685.20

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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.