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Finding the Fourth Proportional to 3,415.57, 4,709.24 and 2,848.66

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Solution

The fourth proportional to 3,415.57, 4,709.24 and 2,848.66 is: 3,927.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.57 : 4,709.24 = 2,848.66 : x
  2. Step 2: Convert to fraction form
    3,415.57/4,709.24 = 2,848.66/x
  3. Step 3: Cross multiply
    3,415.57x = 4,709.24 × 2,848.66
  4. Step 4: Simplify right side
    3,415.57x = 13,415,023.62
  5. Step 5: Solve for x
    x = 13,415,023.62/3,415.57
  6. Step 6: Final answer
    x = 3,927.61

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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.