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Finding the Fourth Proportional to 5,189.86, 7,784.48 and 1,679.80

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Solution

The fourth proportional to 5,189.86, 7,784.48 and 1,679.80 is: 2,519.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.86 : 7,784.48 = 1,679.80 : x
  2. Step 2: Convert to fraction form
    5,189.86/7,784.48 = 1,679.80/x
  3. Step 3: Cross multiply
    5,189.86x = 7,784.48 × 1,679.80
  4. Step 4: Simplify right side
    5,189.86x = 13,076,322.18
  5. Step 5: Solve for x
    x = 13,076,322.18/5,189.86
  6. Step 6: Final answer
    x = 2,519.59

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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.