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Finding the Fourth Proportional to 12,398.86, 18,580.06 and 9,772.64

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Solution

The fourth proportional to 12,398.86, 18,580.06 and 9,772.64 is: 14,644.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398.86 : 18,580.06 = 9,772.64 : x
  2. Step 2: Convert to fraction form
    12,398.86/18,580.06 = 9,772.64/x
  3. Step 3: Cross multiply
    12,398.86x = 18,580.06 × 9,772.64
  4. Step 4: Simplify right side
    12,398.86x = 181,576,237.56
  5. Step 5: Solve for x
    x = 181,576,237.56/12,398.86
  6. Step 6: Final answer
    x = 14,644.59

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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.