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Finding the Fourth Proportional to 4,015.84, 5,978.24 and 3,827.20

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Solution

The fourth proportional to 4,015.84, 5,978.24 and 3,827.20 is: 5,697.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,015.84 : 5,978.24 = 3,827.20 : x
  2. Step 2: Convert to fraction form
    4,015.84/5,978.24 = 3,827.20/x
  3. Step 3: Cross multiply
    4,015.84x = 5,978.24 × 3,827.20
  4. Step 4: Simplify right side
    4,015.84x = 22,879,920.13
  5. Step 5: Solve for x
    x = 22,879,920.13/4,015.84
  6. Step 6: Final answer
    x = 5,697.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.