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Finding the Fourth Proportional to 3,000.94, 4,502.06 and 1,686

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Solution

The fourth proportional to 3,000.94, 4,502.06 and 1,686 is: 2,529.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.94 : 4,502.06 = 1,686 : x
  2. Step 2: Convert to fraction form
    3,000.94/4,502.06 = 1,686/x
  3. Step 3: Cross multiply
    3,000.94x = 4,502.06 × 1,686
  4. Step 4: Simplify right side
    3,000.94x = 7,590,473.16
  5. Step 5: Solve for x
    x = 7,590,473.16/3,000.94
  6. Step 6: Final answer
    x = 2,529.37

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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.