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Finding the Fourth Proportional to 13,765.64, 18,996.59 and 7,478.02

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Solution

The fourth proportional to 13,765.64, 18,996.59 and 7,478.02 is: 10,319.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.64 : 18,996.59 = 7,478.02 : x
  2. Step 2: Convert to fraction form
    13,765.64/18,996.59 = 7,478.02/x
  3. Step 3: Cross multiply
    13,765.64x = 18,996.59 × 7,478.02
  4. Step 4: Simplify right side
    13,765.64x = 142,056,879.95
  5. Step 5: Solve for x
    x = 142,056,879.95/13,765.64
  6. Step 6: Final answer
    x = 10,319.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.