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Finding the Fourth Proportional to 13,695.06, 20,509.47 and 7,833.90

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Solution

The fourth proportional to 13,695.06, 20,509.47 and 7,833.90 is: 11,731.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,695.06 : 20,509.47 = 7,833.90 : x
  2. Step 2: Convert to fraction form
    13,695.06/20,509.47 = 7,833.90/x
  3. Step 3: Cross multiply
    13,695.06x = 20,509.47 × 7,833.90
  4. Step 4: Simplify right side
    13,695.06x = 160,669,137.03
  5. Step 5: Solve for x
    x = 160,669,137.03/13,695.06
  6. Step 6: Final answer
    x = 11,731.90

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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.