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Finding the Fourth Proportional to 14,032.98, 20,996.01 and 12,477.78

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Solution

The fourth proportional to 14,032.98, 20,996.01 and 12,477.78 is: 18,669.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,032.98 : 20,996.01 = 12,477.78 : x
  2. Step 2: Convert to fraction form
    14,032.98/20,996.01 = 12,477.78/x
  3. Step 3: Cross multiply
    14,032.98x = 20,996.01 × 12,477.78
  4. Step 4: Simplify right side
    14,032.98x = 261,983,593.66
  5. Step 5: Solve for x
    x = 261,983,593.66/14,032.98
  6. Step 6: Final answer
    x = 18,669.13

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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.