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Finding the Fourth Proportional to 13,978.63, 20,972.50 and 6,583.83

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Solution

The fourth proportional to 13,978.63, 20,972.50 and 6,583.83 is: 9,877.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.63 : 20,972.50 = 6,583.83 : x
  2. Step 2: Convert to fraction form
    13,978.63/20,972.50 = 6,583.83/x
  3. Step 3: Cross multiply
    13,978.63x = 20,972.50 × 6,583.83
  4. Step 4: Simplify right side
    13,978.63x = 138,079,374.68
  5. Step 5: Solve for x
    x = 138,079,374.68/13,978.63
  6. Step 6: Final answer
    x = 9,877.89

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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.