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Finding the Fourth Proportional to 3,002.94, 4,505.94 and 1,685.88

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Solution

The fourth proportional to 3,002.94, 4,505.94 and 1,685.88 is: 2,529.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.94 : 4,505.94 = 1,685.88 : x
  2. Step 2: Convert to fraction form
    3,002.94/4,505.94 = 1,685.88/x
  3. Step 3: Cross multiply
    3,002.94x = 4,505.94 × 1,685.88
  4. Step 4: Simplify right side
    3,002.94x = 7,596,474.13
  5. Step 5: Solve for x
    x = 7,596,474.13/3,002.94
  6. Step 6: Final answer
    x = 2,529.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.