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Finding the Fourth Proportional to 2,874.16, 4,309.68 and 925.84

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Solution

The fourth proportional to 2,874.16, 4,309.68 and 925.84 is: 1,388.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.16 : 4,309.68 = 925.84 : x
  2. Step 2: Convert to fraction form
    2,874.16/4,309.68 = 925.84/x
  3. Step 3: Cross multiply
    2,874.16x = 4,309.68 × 925.84
  4. Step 4: Simplify right side
    2,874.16x = 3,990,074.13
  5. Step 5: Solve for x
    x = 3,990,074.13/2,874.16
  6. Step 6: Final answer
    x = 1,388.26

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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.