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Finding the Fourth Proportional to 20,585, 28,410.54 and 12,199.88

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Solution

The fourth proportional to 20,585, 28,410.54 and 12,199.88 is: 16,837.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,585 : 28,410.54 = 12,199.88 : x
  2. Step 2: Convert to fraction form
    20,585/28,410.54 = 12,199.88/x
  3. Step 3: Cross multiply
    20,585x = 28,410.54 × 12,199.88
  4. Step 4: Simplify right side
    20,585x = 346,605,178.74
  5. Step 5: Solve for x
    x = 346,605,178.74/20,585
  6. Step 6: Final answer
    x = 16,837.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.