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Finding the Fourth Proportional to 38,273, 52,821.69 and 21,506

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Solution

The fourth proportional to 38,273, 52,821.69 and 21,506 is: 29,681.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,273 : 52,821.69 = 21,506 : x
  2. Step 2: Convert to fraction form
    38,273/52,821.69 = 21,506/x
  3. Step 3: Cross multiply
    38,273x = 52,821.69 × 21,506
  4. Step 4: Simplify right side
    38,273x = 1,135,983,265.14
  5. Step 5: Solve for x
    x = 1,135,983,265.14/38,273
  6. Step 6: Final answer
    x = 29,681.06

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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.