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Finding the Fourth Proportional to 4,079.42, 5,630.08 and 2,311

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Solution

The fourth proportional to 4,079.42, 5,630.08 and 2,311 is: 3,189.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,079.42 : 5,630.08 = 2,311 : x
  2. Step 2: Convert to fraction form
    4,079.42/5,630.08 = 2,311/x
  3. Step 3: Cross multiply
    4,079.42x = 5,630.08 × 2,311
  4. Step 4: Simplify right side
    4,079.42x = 13,011,114.88
  5. Step 5: Solve for x
    x = 13,011,114.88/4,079.42
  6. Step 6: Final answer
    x = 3,189.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.