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Finding the Fourth Proportional to 12,433, 18,649.68 and 4,641.88

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Solution

The fourth proportional to 12,433, 18,649.68 and 4,641.88 is: 6,962.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,433 : 18,649.68 = 4,641.88 : x
  2. Step 2: Convert to fraction form
    12,433/18,649.68 = 4,641.88/x
  3. Step 3: Cross multiply
    12,433x = 18,649.68 × 4,641.88
  4. Step 4: Simplify right side
    12,433x = 86,569,576.60
  5. Step 5: Solve for x
    x = 86,569,576.60/12,433
  6. Step 6: Final answer
    x = 6,962.89

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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.