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Finding the Fourth Proportional to 38,202, 52,720.38 and 21,435

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Solution

The fourth proportional to 38,202, 52,720.38 and 21,435 is: 29,581.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,202 : 52,720.38 = 21,435 : x
  2. Step 2: Convert to fraction form
    38,202/52,720.38 = 21,435/x
  3. Step 3: Cross multiply
    38,202x = 52,720.38 × 21,435
  4. Step 4: Simplify right side
    38,202x = 1,130,061,345.30
  5. Step 5: Solve for x
    x = 1,130,061,345.30/38,202
  6. Step 6: Final answer
    x = 29,581.21

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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.