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Finding the Fourth Proportional to 13,281, 19,921.86 and 4,047

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Solution

The fourth proportional to 13,281, 19,921.86 and 4,047 is: 6,070.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,281 : 19,921.86 = 4,047 : x
  2. Step 2: Convert to fraction form
    13,281/19,921.86 = 4,047/x
  3. Step 3: Cross multiply
    13,281x = 19,921.86 × 4,047
  4. Step 4: Simplify right side
    13,281x = 80,623,767.42
  5. Step 5: Solve for x
    x = 80,623,767.42/13,281
  6. Step 6: Final answer
    x = 6,070.61

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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.