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Finding the Fourth Proportional to 12,443.42, 18,650.86 and 6,207.74

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Solution

The fourth proportional to 12,443.42, 18,650.86 and 6,207.74 is: 9,304.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,443.42 : 18,650.86 = 6,207.74 : x
  2. Step 2: Convert to fraction form
    12,443.42/18,650.86 = 6,207.74/x
  3. Step 3: Cross multiply
    12,443.42x = 18,650.86 × 6,207.74
  4. Step 4: Simplify right side
    12,443.42x = 115,779,650.82
  5. Step 5: Solve for x
    x = 115,779,650.82/12,443.42
  6. Step 6: Final answer
    x = 9,304.49

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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.