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Finding the Fourth Proportional to 23,520.68, 32,458.78 and 12,765.64

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Solution

The fourth proportional to 23,520.68, 32,458.78 and 12,765.64 is: 17,616.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,520.68 : 32,458.78 = 12,765.64 : x
  2. Step 2: Convert to fraction form
    23,520.68/32,458.78 = 12,765.64/x
  3. Step 3: Cross multiply
    23,520.68x = 32,458.78 × 12,765.64
  4. Step 4: Simplify right side
    23,520.68x = 414,357,100.32
  5. Step 5: Solve for x
    x = 414,357,100.32/23,520.68
  6. Step 6: Final answer
    x = 17,616.71

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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.