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Finding the Fourth Proportional to 2,655.04, 3,982.30 and 806.17

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Solution

The fourth proportional to 2,655.04, 3,982.30 and 806.17 is: 1,209.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.04 : 3,982.30 = 806.17 : x
  2. Step 2: Convert to fraction form
    2,655.04/3,982.30 = 806.17/x
  3. Step 3: Cross multiply
    2,655.04x = 3,982.30 × 806.17
  4. Step 4: Simplify right side
    2,655.04x = 3,210,394.51
  5. Step 5: Solve for x
    x = 3,210,394.51/2,655.04
  6. Step 6: Final answer
    x = 1,209.17

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1.5x scale

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.