Home / 3,102.14-4,647.80-2,585.46

Finding the Fourth Proportional to 3,102.14, 4,647.80 and 2,585.46

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Solution

The fourth proportional to 3,102.14, 4,647.80 and 2,585.46 is: 3,873.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.14 : 4,647.80 = 2,585.46 : x
  2. Step 2: Convert to fraction form
    3,102.14/4,647.80 = 2,585.46/x
  3. Step 3: Cross multiply
    3,102.14x = 4,647.80 × 2,585.46
  4. Step 4: Simplify right side
    3,102.14x = 12,016,700.99
  5. Step 5: Solve for x
    x = 12,016,700.99/3,102.14
  6. Step 6: Final answer
    x = 3,873.68

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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.