Home / 3,102.76-4,654.68-1,643.14

Finding the Fourth Proportional to 3,102.76, 4,654.68 and 1,643.14

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Solution

The fourth proportional to 3,102.76, 4,654.68 and 1,643.14 is: 2,465.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.76 : 4,654.68 = 1,643.14 : x
  2. Step 2: Convert to fraction form
    3,102.76/4,654.68 = 1,643.14/x
  3. Step 3: Cross multiply
    3,102.76x = 4,654.68 × 1,643.14
  4. Step 4: Simplify right side
    3,102.76x = 7,648,290.90
  5. Step 5: Solve for x
    x = 7,648,290.90/3,102.76
  6. Step 6: Final answer
    x = 2,465.00

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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.