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Finding the Fourth Proportional to 3,409.79, 4,706.79 and 2,935.94

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Solution

The fourth proportional to 3,409.79, 4,706.79 and 2,935.94 is: 4,052.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.79 : 4,706.79 = 2,935.94 : x
  2. Step 2: Convert to fraction form
    3,409.79/4,706.79 = 2,935.94/x
  3. Step 3: Cross multiply
    3,409.79x = 4,706.79 × 2,935.94
  4. Step 4: Simplify right side
    3,409.79x = 13,818,853.03
  5. Step 5: Solve for x
    x = 13,818,853.03/3,409.79
  6. Step 6: Final answer
    x = 4,052.70

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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.