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Finding the Fourth Proportional to 5,475.76, 8,212.44 and 1,579.12

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Solution

The fourth proportional to 5,475.76, 8,212.44 and 1,579.12 is: 2,368.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,475.76 : 8,212.44 = 1,579.12 : x
  2. Step 2: Convert to fraction form
    5,475.76/8,212.44 = 1,579.12/x
  3. Step 3: Cross multiply
    5,475.76x = 8,212.44 × 1,579.12
  4. Step 4: Simplify right side
    5,475.76x = 12,968,428.25
  5. Step 5: Solve for x
    x = 12,968,428.25/5,475.76
  6. Step 6: Final answer
    x = 2,368.33

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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.