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Finding the Fourth Proportional to 1,911.96, 2,864.16 and 1,792.08

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Solution

The fourth proportional to 1,911.96, 2,864.16 and 1,792.08 is: 2,684.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.96 : 2,864.16 = 1,792.08 : x
  2. Step 2: Convert to fraction form
    1,911.96/2,864.16 = 1,792.08/x
  3. Step 3: Cross multiply
    1,911.96x = 2,864.16 × 1,792.08
  4. Step 4: Simplify right side
    1,911.96x = 5,132,803.85
  5. Step 5: Solve for x
    x = 5,132,803.85/1,911.96
  6. Step 6: Final answer
    x = 2,684.58

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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.