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Finding the Fourth Proportional to 14,911.64, 20,578.10 and 8,197.48

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Solution

The fourth proportional to 14,911.64, 20,578.10 and 8,197.48 is: 11,312.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,911.64 : 20,578.10 = 8,197.48 : x
  2. Step 2: Convert to fraction form
    14,911.64/20,578.10 = 8,197.48/x
  3. Step 3: Cross multiply
    14,911.64x = 20,578.10 × 8,197.48
  4. Step 4: Simplify right side
    14,911.64x = 168,688,563.19
  5. Step 5: Solve for x
    x = 168,688,563.19/14,911.64
  6. Step 6: Final answer
    x = 11,312.54

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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.