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Finding the Fourth Proportional to 5,184.86, 7,778.80 and 1,674.80

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Solution

The fourth proportional to 5,184.86, 7,778.80 and 1,674.80 is: 2,512.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184.86 : 7,778.80 = 1,674.80 : x
  2. Step 2: Convert to fraction form
    5,184.86/7,778.80 = 1,674.80/x
  3. Step 3: Cross multiply
    5,184.86x = 7,778.80 × 1,674.80
  4. Step 4: Simplify right side
    5,184.86x = 13,027,934.24
  5. Step 5: Solve for x
    x = 13,027,934.24/5,184.86
  6. Step 6: Final answer
    x = 2,512.69

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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.