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Finding the Fourth Proportional to 12,585, 18,877.50 and 3,819.72

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Solution

The fourth proportional to 12,585, 18,877.50 and 3,819.72 is: 5,729.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585 : 18,877.50 = 3,819.72 : x
  2. Step 2: Convert to fraction form
    12,585/18,877.50 = 3,819.72/x
  3. Step 3: Cross multiply
    12,585x = 18,877.50 × 3,819.72
  4. Step 4: Simplify right side
    12,585x = 72,106,764.30
  5. Step 5: Solve for x
    x = 72,106,764.30/12,585
  6. Step 6: Final answer
    x = 5,729.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.