Home / 5,475-8,212.58-1,579.42

Finding the Fourth Proportional to 5,475, 8,212.58 and 1,579.42

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Solution

The fourth proportional to 5,475, 8,212.58 and 1,579.42 is: 2,369.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,475 : 8,212.58 = 1,579.42 : x
  2. Step 2: Convert to fraction form
    5,475/8,212.58 = 1,579.42/x
  3. Step 3: Cross multiply
    5,475x = 8,212.58 × 1,579.42
  4. Step 4: Simplify right side
    5,475x = 12,971,113.10
  5. Step 5: Solve for x
    x = 12,971,113.10/5,475
  6. Step 6: Final answer
    x = 2,369.15

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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.