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Finding the Fourth Proportional to 23,548.64, 32,499.12 and 12,940.40

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Solution

The fourth proportional to 23,548.64, 32,499.12 and 12,940.40 is: 17,858.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,548.64 : 32,499.12 = 12,940.40 : x
  2. Step 2: Convert to fraction form
    23,548.64/32,499.12 = 12,940.40/x
  3. Step 3: Cross multiply
    23,548.64x = 32,499.12 × 12,940.40
  4. Step 4: Simplify right side
    23,548.64x = 420,551,612.45
  5. Step 5: Solve for x
    x = 420,551,612.45/23,548.64
  6. Step 6: Final answer
    x = 17,858.85

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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.