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Finding the Fourth Proportional to 23,471.92, 35,210.80 and 7,678.56

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Solution

The fourth proportional to 23,471.92, 35,210.80 and 7,678.56 is: 11,518.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,471.92 : 35,210.80 = 7,678.56 : x
  2. Step 2: Convert to fraction form
    23,471.92/35,210.80 = 7,678.56/x
  3. Step 3: Cross multiply
    23,471.92x = 35,210.80 × 7,678.56
  4. Step 4: Simplify right side
    23,471.92x = 270,368,240.45
  5. Step 5: Solve for x
    x = 270,368,240.45/23,471.92
  6. Step 6: Final answer
    x = 11,518.80

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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.