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Finding the Fourth Proportional to 16,513.96, 24,774.70 and 5,421.40

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Solution

The fourth proportional to 16,513.96, 24,774.70 and 5,421.40 is: 8,133.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,513.96 : 24,774.70 = 5,421.40 : x
  2. Step 2: Convert to fraction form
    16,513.96/24,774.70 = 5,421.40/x
  3. Step 3: Cross multiply
    16,513.96x = 24,774.70 × 5,421.40
  4. Step 4: Simplify right side
    16,513.96x = 134,313,558.58
  5. Step 5: Solve for x
    x = 134,313,558.58/16,513.96
  6. Step 6: Final answer
    x = 8,133.33

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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.