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Finding the Fourth Proportional to 9,472.50, 14,197.68 and 5,579.64

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Solution

The fourth proportional to 9,472.50, 14,197.68 and 5,579.64 is: 8,362.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.50 : 14,197.68 = 5,579.64 : x
  2. Step 2: Convert to fraction form
    9,472.50/14,197.68 = 5,579.64/x
  3. Step 3: Cross multiply
    9,472.50x = 14,197.68 × 5,579.64
  4. Step 4: Simplify right side
    9,472.50x = 79,217,943.24
  5. Step 5: Solve for x
    x = 79,217,943.24/9,472.50
  6. Step 6: Final answer
    x = 8,362.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.