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Finding the Fourth Proportional to 3,802.72, 5,705.84 and 1,612

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Solution

The fourth proportional to 3,802.72, 5,705.84 and 1,612 is: 2,418.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.72 : 5,705.84 = 1,612 : x
  2. Step 2: Convert to fraction form
    3,802.72/5,705.84 = 1,612/x
  3. Step 3: Cross multiply
    3,802.72x = 5,705.84 × 1,612
  4. Step 4: Simplify right side
    3,802.72x = 9,197,814.08
  5. Step 5: Solve for x
    x = 9,197,814.08/3,802.72
  6. Step 6: Final answer
    x = 2,418.75

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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.