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Finding the Fourth Proportional to 9,777.20, 13,491.68 and 5,797.68

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Solution

The fourth proportional to 9,777.20, 13,491.68 and 5,797.68 is: 8,000.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.20 : 13,491.68 = 5,797.68 : x
  2. Step 2: Convert to fraction form
    9,777.20/13,491.68 = 5,797.68/x
  3. Step 3: Cross multiply
    9,777.20x = 13,491.68 × 5,797.68
  4. Step 4: Simplify right side
    9,777.20x = 78,220,443.30
  5. Step 5: Solve for x
    x = 78,220,443.30/9,777.20
  6. Step 6: Final answer
    x = 8,000.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.