Home / 1,950.35-2,923.70-780.03

Finding the Fourth Proportional to 1,950.35, 2,923.70 and 780.03

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Solution

The fourth proportional to 1,950.35, 2,923.70 and 780.03 is: 1,169.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.35 : 2,923.70 = 780.03 : x
  2. Step 2: Convert to fraction form
    1,950.35/2,923.70 = 780.03/x
  3. Step 3: Cross multiply
    1,950.35x = 2,923.70 × 780.03
  4. Step 4: Simplify right side
    1,950.35x = 2,280,569.81
  5. Step 5: Solve for x
    x = 2,280,569.81/1,950.35
  6. Step 6: Final answer
    x = 1,169.32

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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.