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Finding the Fourth Proportional to 10,823.88, 16,235.78 and 2,615.88

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Solution

The fourth proportional to 10,823.88, 16,235.78 and 2,615.88 is: 3,923.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,823.88 : 16,235.78 = 2,615.88 : x
  2. Step 2: Convert to fraction form
    10,823.88/16,235.78 = 2,615.88/x
  3. Step 3: Cross multiply
    10,823.88x = 16,235.78 × 2,615.88
  4. Step 4: Simplify right side
    10,823.88x = 42,470,852.19
  5. Step 5: Solve for x
    x = 42,470,852.19/10,823.88
  6. Step 6: Final answer
    x = 3,923.81

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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.