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Finding the Fourth Proportional to 13,985.96, 20,978.94 and 5,101.96

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Solution

The fourth proportional to 13,985.96, 20,978.94 and 5,101.96 is: 7,652.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,985.96 : 20,978.94 = 5,101.96 : x
  2. Step 2: Convert to fraction form
    13,985.96/20,978.94 = 5,101.96/x
  3. Step 3: Cross multiply
    13,985.96x = 20,978.94 × 5,101.96
  4. Step 4: Simplify right side
    13,985.96x = 107,033,712.72
  5. Step 5: Solve for x
    x = 107,033,712.72/13,985.96
  6. Step 6: Final answer
    x = 7,652.94

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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.