Home / 2,878.26-4,317.12-1,782.78

Finding the Fourth Proportional to 2,878.26, 4,317.12 and 1,782.78

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Solution

The fourth proportional to 2,878.26, 4,317.12 and 1,782.78 is: 2,674.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.26 : 4,317.12 = 1,782.78 : x
  2. Step 2: Convert to fraction form
    2,878.26/4,317.12 = 1,782.78/x
  3. Step 3: Cross multiply
    2,878.26x = 4,317.12 × 1,782.78
  4. Step 4: Simplify right side
    2,878.26x = 7,696,475.19
  5. Step 5: Solve for x
    x = 7,696,475.19/2,878.26
  6. Step 6: Final answer
    x = 2,674.00

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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.