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Finding the Fourth Proportional to 5,486.40, 8,230.80 and 1,788.80

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Solution

The fourth proportional to 5,486.40, 8,230.80 and 1,788.80 is: 2,683.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.40 : 8,230.80 = 1,788.80 : x
  2. Step 2: Convert to fraction form
    5,486.40/8,230.80 = 1,788.80/x
  3. Step 3: Cross multiply
    5,486.40x = 8,230.80 × 1,788.80
  4. Step 4: Simplify right side
    5,486.40x = 14,723,255.04
  5. Step 5: Solve for x
    x = 14,723,255.04/5,486.40
  6. Step 6: Final answer
    x = 2,683.59

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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.