Home / 1,977.18-2,965.68-1,153.80

Finding the Fourth Proportional to 1,977.18, 2,965.68 and 1,153.80

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Solution

The fourth proportional to 1,977.18, 2,965.68 and 1,153.80 is: 1,730.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.18 : 2,965.68 = 1,153.80 : x
  2. Step 2: Convert to fraction form
    1,977.18/2,965.68 = 1,153.80/x
  3. Step 3: Cross multiply
    1,977.18x = 2,965.68 × 1,153.80
  4. Step 4: Simplify right side
    1,977.18x = 3,421,801.58
  5. Step 5: Solve for x
    x = 3,421,801.58/1,977.18
  6. Step 6: Final answer
    x = 1,730.65

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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.