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Finding the Fourth Proportional to 5,172, 7,137.92 and 2,964

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Solution

The fourth proportional to 5,172, 7,137.92 and 2,964 is: 4,090.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172 : 7,137.92 = 2,964 : x
  2. Step 2: Convert to fraction form
    5,172/7,137.92 = 2,964/x
  3. Step 3: Cross multiply
    5,172x = 7,137.92 × 2,964
  4. Step 4: Simplify right side
    5,172x = 21,156,794.88
  5. Step 5: Solve for x
    x = 21,156,794.88/5,172
  6. Step 6: Final answer
    x = 4,090.64

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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.