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Finding the Fourth Proportional to 4,800.48, 7,200.72 and 1,878.41

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Solution

The fourth proportional to 4,800.48, 7,200.72 and 1,878.41 is: 2,817.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,800.48 : 7,200.72 = 1,878.41 : x
  2. Step 2: Convert to fraction form
    4,800.48/7,200.72 = 1,878.41/x
  3. Step 3: Cross multiply
    4,800.48x = 7,200.72 × 1,878.41
  4. Step 4: Simplify right side
    4,800.48x = 13,525,868.45
  5. Step 5: Solve for x
    x = 13,525,868.45/4,800.48
  6. Step 6: Final answer
    x = 2,817.61

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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.