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Finding the Fourth Proportional to 21,892.60, 30,214.92 and 12,462.04

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Solution

The fourth proportional to 21,892.60, 30,214.92 and 12,462.04 is: 17,199.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,892.60 : 30,214.92 = 12,462.04 : x
  2. Step 2: Convert to fraction form
    21,892.60/30,214.92 = 12,462.04/x
  3. Step 3: Cross multiply
    21,892.60x = 30,214.92 × 12,462.04
  4. Step 4: Simplify right side
    21,892.60x = 376,539,541.64
  5. Step 5: Solve for x
    x = 376,539,541.64/21,892.60
  6. Step 6: Final answer
    x = 17,199.40

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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.