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Finding the Fourth Proportional to 13,379.76, 20,082 and 6,364.08

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Solution

The fourth proportional to 13,379.76, 20,082 and 6,364.08 is: 9,552.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,379.76 : 20,082 = 6,364.08 : x
  2. Step 2: Convert to fraction form
    13,379.76/20,082 = 6,364.08/x
  3. Step 3: Cross multiply
    13,379.76x = 20,082 × 6,364.08
  4. Step 4: Simplify right side
    13,379.76x = 127,803,454.56
  5. Step 5: Solve for x
    x = 127,803,454.56/13,379.76
  6. Step 6: Final answer
    x = 9,552.00

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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.