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Finding the Fourth Proportional to 3,705.76, 5,116.56 and 2,657.92

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Solution

The fourth proportional to 3,705.76, 5,116.56 and 2,657.92 is: 3,669.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.76 : 5,116.56 = 2,657.92 : x
  2. Step 2: Convert to fraction form
    3,705.76/5,116.56 = 2,657.92/x
  3. Step 3: Cross multiply
    3,705.76x = 5,116.56 × 2,657.92
  4. Step 4: Simplify right side
    3,705.76x = 13,599,407.16
  5. Step 5: Solve for x
    x = 13,599,407.16/3,705.76
  6. Step 6: Final answer
    x = 3,669.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.