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Finding the Fourth Proportional to 14,800.12, 20,427.62 and 9,765.24

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Solution

The fourth proportional to 14,800.12, 20,427.62 and 9,765.24 is: 13,478.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,800.12 : 20,427.62 = 9,765.24 : x
  2. Step 2: Convert to fraction form
    14,800.12/20,427.62 = 9,765.24/x
  3. Step 3: Cross multiply
    14,800.12x = 20,427.62 × 9,765.24
  4. Step 4: Simplify right side
    14,800.12x = 199,480,611.93
  5. Step 5: Solve for x
    x = 199,480,611.93/14,800.12
  6. Step 6: Final answer
    x = 13,478.31

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