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Finding the Fourth Proportional to 2,913.86, 4,362.42 and 2,186.48

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Solution

The fourth proportional to 2,913.86, 4,362.42 and 2,186.48 is: 3,273.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.86 : 4,362.42 = 2,186.48 : x
  2. Step 2: Convert to fraction form
    2,913.86/4,362.42 = 2,186.48/x
  3. Step 3: Cross multiply
    2,913.86x = 4,362.42 × 2,186.48
  4. Step 4: Simplify right side
    2,913.86x = 9,538,344.08
  5. Step 5: Solve for x
    x = 9,538,344.08/2,913.86
  6. Step 6: Final answer
    x = 3,273.44

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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.