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Finding the Fourth Proportional to 5,107, 7,047.66 and 2,899

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Solution

The fourth proportional to 5,107, 7,047.66 and 2,899 is: 4,000.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107 : 7,047.66 = 2,899 : x
  2. Step 2: Convert to fraction form
    5,107/7,047.66 = 2,899/x
  3. Step 3: Cross multiply
    5,107x = 7,047.66 × 2,899
  4. Step 4: Simplify right side
    5,107x = 20,431,166.34
  5. Step 5: Solve for x
    x = 20,431,166.34/5,107
  6. Step 6: Final answer
    x = 4,000.62

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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.