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Finding the Fourth Proportional to 13,838.80, 20,735.40 and 7,985.20

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Solution

The fourth proportional to 13,838.80, 20,735.40 and 7,985.20 is: 11,964.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.80 : 20,735.40 = 7,985.20 : x
  2. Step 2: Convert to fraction form
    13,838.80/20,735.40 = 7,985.20/x
  3. Step 3: Cross multiply
    13,838.80x = 20,735.40 × 7,985.20
  4. Step 4: Simplify right side
    13,838.80x = 165,576,316.08
  5. Step 5: Solve for x
    x = 165,576,316.08/13,838.80
  6. Step 6: Final answer
    x = 11,964.64

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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.