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Finding the Fourth Proportional to 12,589.76, 18,885.05 and 5,189.20

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Solution

The fourth proportional to 12,589.76, 18,885.05 and 5,189.20 is: 7,783.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,589.76 : 18,885.05 = 5,189.20 : x
  2. Step 2: Convert to fraction form
    12,589.76/18,885.05 = 5,189.20/x
  3. Step 3: Cross multiply
    12,589.76x = 18,885.05 × 5,189.20
  4. Step 4: Simplify right side
    12,589.76x = 97,998,247.76
  5. Step 5: Solve for x
    x = 97,998,247.76/12,589.76
  6. Step 6: Final answer
    x = 7,783.96

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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.