Home / 4,097.86-6,146.42-1,632.02

Finding the Fourth Proportional to 4,097.86, 6,146.42 and 1,632.02

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Solution

The fourth proportional to 4,097.86, 6,146.42 and 1,632.02 is: 2,447.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.86 : 6,146.42 = 1,632.02 : x
  2. Step 2: Convert to fraction form
    4,097.86/6,146.42 = 1,632.02/x
  3. Step 3: Cross multiply
    4,097.86x = 6,146.42 × 1,632.02
  4. Step 4: Simplify right side
    4,097.86x = 10,031,041.48
  5. Step 5: Solve for x
    x = 10,031,041.48/4,097.86
  6. Step 6: Final answer
    x = 2,447.87

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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.