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Finding the Fourth Proportional to 13,935.76, 20,909.08 and 6,139.08

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Solution

The fourth proportional to 13,935.76, 20,909.08 and 6,139.08 is: 9,211.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,935.76 : 20,909.08 = 6,139.08 : x
  2. Step 2: Convert to fraction form
    13,935.76/20,909.08 = 6,139.08/x
  3. Step 3: Cross multiply
    13,935.76x = 20,909.08 × 6,139.08
  4. Step 4: Simplify right side
    13,935.76x = 128,362,514.85
  5. Step 5: Solve for x
    x = 128,362,514.85/13,935.76
  6. Step 6: Final answer
    x = 9,211.02

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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.