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Finding the Fourth Proportional to 5,478.86, 8,218.10 and 1,583.66

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Solution

The fourth proportional to 5,478.86, 8,218.10 and 1,583.66 is: 2,375.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.86 : 8,218.10 = 1,583.66 : x
  2. Step 2: Convert to fraction form
    5,478.86/8,218.10 = 1,583.66/x
  3. Step 3: Cross multiply
    5,478.86x = 8,218.10 × 1,583.66
  4. Step 4: Simplify right side
    5,478.86x = 13,014,676.25
  5. Step 5: Solve for x
    x = 13,014,676.25/5,478.86
  6. Step 6: Final answer
    x = 2,375.44

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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.