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Finding the Fourth Proportional to 1,980.56, 2,962.16 and 1,617.68

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Solution

The fourth proportional to 1,980.56, 2,962.16 and 1,617.68 is: 2,419.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.56 : 2,962.16 = 1,617.68 : x
  2. Step 2: Convert to fraction form
    1,980.56/2,962.16 = 1,617.68/x
  3. Step 3: Cross multiply
    1,980.56x = 2,962.16 × 1,617.68
  4. Step 4: Simplify right side
    1,980.56x = 4,791,826.99
  5. Step 5: Solve for x
    x = 4,791,826.99/1,980.56
  6. Step 6: Final answer
    x = 2,419.43

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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.