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Finding the Fourth Proportional to 13,284, 19,928.52 and 4,969.86

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Solution

The fourth proportional to 13,284, 19,928.52 and 4,969.86 is: 7,455.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,284 : 19,928.52 = 4,969.86 : x
  2. Step 2: Convert to fraction form
    13,284/19,928.52 = 4,969.86/x
  3. Step 3: Cross multiply
    13,284x = 19,928.52 × 4,969.86
  4. Step 4: Simplify right side
    13,284x = 99,041,954.41
  5. Step 5: Solve for x
    x = 99,041,954.41/13,284
  6. Step 6: Final answer
    x = 7,455.73

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Why These Related Problems?

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