Home / 1,782.20-2,674.08-917.12

Finding the Fourth Proportional to 1,782.20, 2,674.08 and 917.12

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Solution

The fourth proportional to 1,782.20, 2,674.08 and 917.12 is: 1,376.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.20 : 2,674.08 = 917.12 : x
  2. Step 2: Convert to fraction form
    1,782.20/2,674.08 = 917.12/x
  3. Step 3: Cross multiply
    1,782.20x = 2,674.08 × 917.12
  4. Step 4: Simplify right side
    1,782.20x = 2,452,452.25
  5. Step 5: Solve for x
    x = 2,452,452.25/1,782.20
  6. Step 6: Final answer
    x = 1,376.08

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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.