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Finding the Fourth Proportional to 14,916.96, 20,569.68 and 12,800.16

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Solution

The fourth proportional to 14,916.96, 20,569.68 and 12,800.16 is: 17,650.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,916.96 : 20,569.68 = 12,800.16 : x
  2. Step 2: Convert to fraction form
    14,916.96/20,569.68 = 12,800.16/x
  3. Step 3: Cross multiply
    14,916.96x = 20,569.68 × 12,800.16
  4. Step 4: Simplify right side
    14,916.96x = 263,295,195.15
  5. Step 5: Solve for x
    x = 263,295,195.15/14,916.96
  6. Step 6: Final answer
    x = 17,650.73

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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.