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Finding the Fourth Proportional to 3,189.52, 4,749.62 and 3,178

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Solution

The fourth proportional to 3,189.52, 4,749.62 and 3,178 is: 4,732.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.52 : 4,749.62 = 3,178 : x
  2. Step 2: Convert to fraction form
    3,189.52/4,749.62 = 3,178/x
  3. Step 3: Cross multiply
    3,189.52x = 4,749.62 × 3,178
  4. Step 4: Simplify right side
    3,189.52x = 15,094,292.36
  5. Step 5: Solve for x
    x = 15,094,292.36/3,189.52
  6. Step 6: Final answer
    x = 4,732.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.