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Finding the Fourth Proportional to 2,957.76, 4,082.72 and 1,716.80

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Solution

The fourth proportional to 2,957.76, 4,082.72 and 1,716.80 is: 2,369.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.76 : 4,082.72 = 1,716.80 : x
  2. Step 2: Convert to fraction form
    2,957.76/4,082.72 = 1,716.80/x
  3. Step 3: Cross multiply
    2,957.76x = 4,082.72 × 1,716.80
  4. Step 4: Simplify right side
    2,957.76x = 7,009,213.70
  5. Step 5: Solve for x
    x = 7,009,213.70/2,957.76
  6. Step 6: Final answer
    x = 2,369.77

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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.