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Finding the Fourth Proportional to 5,187.64, 7,782.90 and 1,678.22

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Solution

The fourth proportional to 5,187.64, 7,782.90 and 1,678.22 is: 2,517.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.64 : 7,782.90 = 1,678.22 : x
  2. Step 2: Convert to fraction form
    5,187.64/7,782.90 = 1,678.22/x
  3. Step 3: Cross multiply
    5,187.64x = 7,782.90 × 1,678.22
  4. Step 4: Simplify right side
    5,187.64x = 13,061,418.44
  5. Step 5: Solve for x
    x = 13,061,418.44/5,187.64
  6. Step 6: Final answer
    x = 2,517.80

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1.5x scale

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.