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Finding the Fourth Proportional to 5,852.32, 8,780.96 and 3,078.32

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Solution

The fourth proportional to 5,852.32, 8,780.96 and 3,078.32 is: 4,618.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.32 : 8,780.96 = 3,078.32 : x
  2. Step 2: Convert to fraction form
    5,852.32/8,780.96 = 3,078.32/x
  3. Step 3: Cross multiply
    5,852.32x = 8,780.96 × 3,078.32
  4. Step 4: Simplify right side
    5,852.32x = 27,030,604.79
  5. Step 5: Solve for x
    x = 27,030,604.79/5,852.32
  6. Step 6: Final answer
    x = 4,618.78

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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.