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Finding the Fourth Proportional to 14,387, 21,580.50 and 3,998.84

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Solution

The fourth proportional to 14,387, 21,580.50 and 3,998.84 is: 5,998.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,387 : 21,580.50 = 3,998.84 : x
  2. Step 2: Convert to fraction form
    14,387/21,580.50 = 3,998.84/x
  3. Step 3: Cross multiply
    14,387x = 21,580.50 × 3,998.84
  4. Step 4: Simplify right side
    14,387x = 86,296,966.62
  5. Step 5: Solve for x
    x = 86,296,966.62/14,387
  6. Step 6: Final answer
    x = 5,998.26

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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.