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Finding the Fourth Proportional to 3,707.76, 5,116.32 and 2,215.36

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Solution

The fourth proportional to 3,707.76, 5,116.32 and 2,215.36 is: 3,056.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.76 : 5,116.32 = 2,215.36 : x
  2. Step 2: Convert to fraction form
    3,707.76/5,116.32 = 2,215.36/x
  3. Step 3: Cross multiply
    3,707.76x = 5,116.32 × 2,215.36
  4. Step 4: Simplify right side
    3,707.76x = 11,334,490.68
  5. Step 5: Solve for x
    x = 11,334,490.68/3,707.76
  6. Step 6: Final answer
    x = 3,056.96

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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.