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Finding the Fourth Proportional to 13,848.72, 20,773.04 and 6,455.28

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Solution

The fourth proportional to 13,848.72, 20,773.04 and 6,455.28 is: 9,682.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,848.72 : 20,773.04 = 6,455.28 : x
  2. Step 2: Convert to fraction form
    13,848.72/20,773.04 = 6,455.28/x
  3. Step 3: Cross multiply
    13,848.72x = 20,773.04 × 6,455.28
  4. Step 4: Simplify right side
    13,848.72x = 134,095,789.65
  5. Step 5: Solve for x
    x = 134,095,789.65/13,848.72
  6. Step 6: Final answer
    x = 9,682.90

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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.