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Finding the Fourth Proportional to 23,809.60, 35,688.80 and 9,012.80

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Solution

The fourth proportional to 23,809.60, 35,688.80 and 9,012.80 is: 13,509.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,809.60 : 35,688.80 = 9,012.80 : x
  2. Step 2: Convert to fraction form
    23,809.60/35,688.80 = 9,012.80/x
  3. Step 3: Cross multiply
    23,809.60x = 35,688.80 × 9,012.80
  4. Step 4: Simplify right side
    23,809.60x = 321,656,016.64
  5. Step 5: Solve for x
    x = 321,656,016.64/23,809.60
  6. Step 6: Final answer
    x = 13,509.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.