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Finding the Fourth Proportional to 2,443.20, 3,664.95 and 982.16

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Solution

The fourth proportional to 2,443.20, 3,664.95 and 982.16 is: 1,473.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.20 : 3,664.95 = 982.16 : x
  2. Step 2: Convert to fraction form
    2,443.20/3,664.95 = 982.16/x
  3. Step 3: Cross multiply
    2,443.20x = 3,664.95 × 982.16
  4. Step 4: Simplify right side
    2,443.20x = 3,599,567.29
  5. Step 5: Solve for x
    x = 3,599,567.29/2,443.20
  6. Step 6: Final answer
    x = 1,473.30

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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.