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Finding the Fourth Proportional to 2,762.22, 4,143.52 and 914.64

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Solution

The fourth proportional to 2,762.22, 4,143.52 and 914.64 is: 1,372.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.22 : 4,143.52 = 914.64 : x
  2. Step 2: Convert to fraction form
    2,762.22/4,143.52 = 914.64/x
  3. Step 3: Cross multiply
    2,762.22x = 4,143.52 × 914.64
  4. Step 4: Simplify right side
    2,762.22x = 3,789,808.42
  5. Step 5: Solve for x
    x = 3,789,808.42/2,762.22
  6. Step 6: Final answer
    x = 1,372.02

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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.