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Finding the Fourth Proportional to 13,985.80, 20,978.70 and 5,669.80

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Solution

The fourth proportional to 13,985.80, 20,978.70 and 5,669.80 is: 8,504.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,985.80 : 20,978.70 = 5,669.80 : x
  2. Step 2: Convert to fraction form
    13,985.80/20,978.70 = 5,669.80/x
  3. Step 3: Cross multiply
    13,985.80x = 20,978.70 × 5,669.80
  4. Step 4: Simplify right side
    13,985.80x = 118,945,033.26
  5. Step 5: Solve for x
    x = 118,945,033.26/13,985.80
  6. Step 6: Final answer
    x = 8,504.70

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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.