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Finding the Fourth Proportional to 3,157.64, 4,354.12 and 2,150

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Solution

The fourth proportional to 3,157.64, 4,354.12 and 2,150 is: 2,964.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.64 : 4,354.12 = 2,150 : x
  2. Step 2: Convert to fraction form
    3,157.64/4,354.12 = 2,150/x
  3. Step 3: Cross multiply
    3,157.64x = 4,354.12 × 2,150
  4. Step 4: Simplify right side
    3,157.64x = 9,361,358
  5. Step 5: Solve for x
    x = 9,361,358/3,157.64
  6. Step 6: Final answer
    x = 2,964.67

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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.