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Finding the Fourth Proportional to 4,862.16, 7,288.92 and 1,782

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Solution

The fourth proportional to 4,862.16, 7,288.92 and 1,782 is: 2,671.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862.16 : 7,288.92 = 1,782 : x
  2. Step 2: Convert to fraction form
    4,862.16/7,288.92 = 1,782/x
  3. Step 3: Cross multiply
    4,862.16x = 7,288.92 × 1,782
  4. Step 4: Simplify right side
    4,862.16x = 12,988,855.44
  5. Step 5: Solve for x
    x = 12,988,855.44/4,862.16
  6. Step 6: Final answer
    x = 2,671.42

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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.