Home / 1,763.62-2,433.68-977.64

Finding the Fourth Proportional to 1,763.62, 2,433.68 and 977.64

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Solution

The fourth proportional to 1,763.62, 2,433.68 and 977.64 is: 1,349.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.62 : 2,433.68 = 977.64 : x
  2. Step 2: Convert to fraction form
    1,763.62/2,433.68 = 977.64/x
  3. Step 3: Cross multiply
    1,763.62x = 2,433.68 × 977.64
  4. Step 4: Simplify right side
    1,763.62x = 2,379,262.92
  5. Step 5: Solve for x
    x = 2,379,262.92/1,763.62
  6. Step 6: Final answer
    x = 1,349.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.