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Finding the Fourth Proportional to 13,871.50, 20,822.02 and 6,483.08

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Solution

The fourth proportional to 13,871.50, 20,822.02 and 6,483.08 is: 9,731.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871.50 : 20,822.02 = 6,483.08 : x
  2. Step 2: Convert to fraction form
    13,871.50/20,822.02 = 6,483.08/x
  3. Step 3: Cross multiply
    13,871.50x = 20,822.02 × 6,483.08
  4. Step 4: Simplify right side
    13,871.50x = 134,990,821.42
  5. Step 5: Solve for x
    x = 134,990,821.42/13,871.50
  6. Step 6: Final answer
    x = 9,731.52

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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.