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Finding the Fourth Proportional to 14,589.79, 21,885 and 5,230.42

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Solution

The fourth proportional to 14,589.79, 21,885 and 5,230.42 is: 7,845.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,589.79 : 21,885 = 5,230.42 : x
  2. Step 2: Convert to fraction form
    14,589.79/21,885 = 5,230.42/x
  3. Step 3: Cross multiply
    14,589.79x = 21,885 × 5,230.42
  4. Step 4: Simplify right side
    14,589.79x = 114,467,741.70
  5. Step 5: Solve for x
    x = 114,467,741.70/14,589.79
  6. Step 6: Final answer
    x = 7,845.74

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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.