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Finding the Fourth Proportional to 9,683.24, 13,364.18 and 5,491.76

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Solution

The fourth proportional to 9,683.24, 13,364.18 and 5,491.76 is: 7,579.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.24 : 13,364.18 = 5,491.76 : x
  2. Step 2: Convert to fraction form
    9,683.24/13,364.18 = 5,491.76/x
  3. Step 3: Cross multiply
    9,683.24x = 13,364.18 × 5,491.76
  4. Step 4: Simplify right side
    9,683.24x = 73,392,869.16
  5. Step 5: Solve for x
    x = 73,392,869.16/9,683.24
  6. Step 6: Final answer
    x = 7,579.37

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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.