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Finding the Fourth Proportional to 5,772, 8,663.76 and 4,216.80

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Solution

The fourth proportional to 5,772, 8,663.76 and 4,216.80 is: 6,329.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772 : 8,663.76 = 4,216.80 : x
  2. Step 2: Convert to fraction form
    5,772/8,663.76 = 4,216.80/x
  3. Step 3: Cross multiply
    5,772x = 8,663.76 × 4,216.80
  4. Step 4: Simplify right side
    5,772x = 36,533,343.17
  5. Step 5: Solve for x
    x = 36,533,343.17/5,772
  6. Step 6: Final answer
    x = 6,329.41

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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.