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Finding the Fourth Proportional to 5,821.76, 8,736.44 and 3,480

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Solution

The fourth proportional to 5,821.76, 8,736.44 and 3,480 is: 5,222.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.76 : 8,736.44 = 3,480 : x
  2. Step 2: Convert to fraction form
    5,821.76/8,736.44 = 3,480/x
  3. Step 3: Cross multiply
    5,821.76x = 8,736.44 × 3,480
  4. Step 4: Simplify right side
    5,821.76x = 30,402,811.20
  5. Step 5: Solve for x
    x = 30,402,811.20/5,821.76
  6. Step 6: Final answer
    x = 5,222.27

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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.