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Finding the Fourth Proportional to 20,513.32, 30,769.98 and 6,473.39

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Solution

The fourth proportional to 20,513.32, 30,769.98 and 6,473.39 is: 9,710.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,513.32 : 30,769.98 = 6,473.39 : x
  2. Step 2: Convert to fraction form
    20,513.32/30,769.98 = 6,473.39/x
  3. Step 3: Cross multiply
    20,513.32x = 30,769.98 × 6,473.39
  4. Step 4: Simplify right side
    20,513.32x = 199,186,080.83
  5. Step 5: Solve for x
    x = 199,186,080.83/20,513.32
  6. Step 6: Final answer
    x = 9,710.09

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1.5x scale

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.