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Finding the Fourth Proportional to 12,564.96, 18,737.58 and 11,012.16

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Solution

The fourth proportional to 12,564.96, 18,737.58 and 11,012.16 is: 16,421.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.96 : 18,737.58 = 11,012.16 : x
  2. Step 2: Convert to fraction form
    12,564.96/18,737.58 = 11,012.16/x
  3. Step 3: Cross multiply
    12,564.96x = 18,737.58 × 11,012.16
  4. Step 4: Simplify right side
    12,564.96x = 206,341,228.97
  5. Step 5: Solve for x
    x = 206,341,228.97/12,564.96
  6. Step 6: Final answer
    x = 16,421.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.