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Finding the Fourth Proportional to 12,808, 19,201.68 and 8,595.64

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Solution

The fourth proportional to 12,808, 19,201.68 and 8,595.64 is: 12,886.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,808 : 19,201.68 = 8,595.64 : x
  2. Step 2: Convert to fraction form
    12,808/19,201.68 = 8,595.64/x
  3. Step 3: Cross multiply
    12,808x = 19,201.68 × 8,595.64
  4. Step 4: Simplify right side
    12,808x = 165,050,728.68
  5. Step 5: Solve for x
    x = 165,050,728.68/12,808
  6. Step 6: Final answer
    x = 12,886.53

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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.