Home / 5,478-8,218.23-1,582.11

Finding the Fourth Proportional to 5,478, 8,218.23 and 1,582.11

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Solution

The fourth proportional to 5,478, 8,218.23 and 1,582.11 is: 2,373.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478 : 8,218.23 = 1,582.11 : x
  2. Step 2: Convert to fraction form
    5,478/8,218.23 = 1,582.11/x
  3. Step 3: Cross multiply
    5,478x = 8,218.23 × 1,582.11
  4. Step 4: Simplify right side
    5,478x = 13,002,143.87
  5. Step 5: Solve for x
    x = 13,002,143.87/5,478
  6. Step 6: Final answer
    x = 2,373.52

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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.