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Finding the Fourth Proportional to 12,654.12, 18,978.39 and 8,945.76

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Solution

The fourth proportional to 12,654.12, 18,978.39 and 8,945.76 is: 13,416.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,654.12 : 18,978.39 = 8,945.76 : x
  2. Step 2: Convert to fraction form
    12,654.12/18,978.39 = 8,945.76/x
  3. Step 3: Cross multiply
    12,654.12x = 18,978.39 × 8,945.76
  4. Step 4: Simplify right side
    12,654.12x = 169,776,122.13
  5. Step 5: Solve for x
    x = 169,776,122.13/12,654.12
  6. Step 6: Final answer
    x = 13,416.67

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1.5x scale

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.