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Finding the Fourth Proportional to 1,977.76, 2,967.16 and 1,355.68

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Solution

The fourth proportional to 1,977.76, 2,967.16 and 1,355.68 is: 2,033.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.76 : 2,967.16 = 1,355.68 : x
  2. Step 2: Convert to fraction form
    1,977.76/2,967.16 = 1,355.68/x
  3. Step 3: Cross multiply
    1,977.76x = 2,967.16 × 1,355.68
  4. Step 4: Simplify right side
    1,977.76x = 4,022,519.47
  5. Step 5: Solve for x
    x = 4,022,519.47/1,977.76
  6. Step 6: Final answer
    x = 2,033.88

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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.