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Finding the Fourth Proportional to 4,872.48, 7,315.20 and 3,829.20

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Solution

The fourth proportional to 4,872.48, 7,315.20 and 3,829.20 is: 5,748.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.48 : 7,315.20 = 3,829.20 : x
  2. Step 2: Convert to fraction form
    4,872.48/7,315.20 = 3,829.20/x
  3. Step 3: Cross multiply
    4,872.48x = 7,315.20 × 3,829.20
  4. Step 4: Simplify right side
    4,872.48x = 28,011,363.84
  5. Step 5: Solve for x
    x = 28,011,363.84/4,872.48
  6. Step 6: Final answer
    x = 5,748.89

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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.