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Finding the Fourth Proportional to 12,423.44, 18,643.80 and 8,030

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Solution

The fourth proportional to 12,423.44, 18,643.80 and 8,030 is: 12,050.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,423.44 : 18,643.80 = 8,030 : x
  2. Step 2: Convert to fraction form
    12,423.44/18,643.80 = 8,030/x
  3. Step 3: Cross multiply
    12,423.44x = 18,643.80 × 8,030
  4. Step 4: Simplify right side
    12,423.44x = 149,709,714
  5. Step 5: Solve for x
    x = 149,709,714/12,423.44
  6. Step 6: Final answer
    x = 12,050.58

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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.