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Finding the Fourth Proportional to 5,137, 7,090.02 and 2,929

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Solution

The fourth proportional to 5,137, 7,090.02 and 2,929 is: 4,042.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137 : 7,090.02 = 2,929 : x
  2. Step 2: Convert to fraction form
    5,137/7,090.02 = 2,929/x
  3. Step 3: Cross multiply
    5,137x = 7,090.02 × 2,929
  4. Step 4: Simplify right side
    5,137x = 20,766,668.58
  5. Step 5: Solve for x
    x = 20,766,668.58/5,137
  6. Step 6: Final answer
    x = 4,042.57

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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.