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Finding the Fourth Proportional to 4,891.54, 6,749.10 and 2,902

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Solution

The fourth proportional to 4,891.54, 6,749.10 and 2,902 is: 4,004.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,891.54 : 6,749.10 = 2,902 : x
  2. Step 2: Convert to fraction form
    4,891.54/6,749.10 = 2,902/x
  3. Step 3: Cross multiply
    4,891.54x = 6,749.10 × 2,902
  4. Step 4: Simplify right side
    4,891.54x = 19,585,888.20
  5. Step 5: Solve for x
    x = 19,585,888.20/4,891.54
  6. Step 6: Final answer
    x = 4,004.03

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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.