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Finding the Fourth Proportional to 5,133, 7,699.86 and 2,055

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Solution

The fourth proportional to 5,133, 7,699.86 and 2,055 is: 3,082.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133 : 7,699.86 = 2,055 : x
  2. Step 2: Convert to fraction form
    5,133/7,699.86 = 2,055/x
  3. Step 3: Cross multiply
    5,133x = 7,699.86 × 2,055
  4. Step 4: Simplify right side
    5,133x = 15,823,212.30
  5. Step 5: Solve for x
    x = 15,823,212.30/5,133
  6. Step 6: Final answer
    x = 3,082.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.