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Finding the Fourth Proportional to 20,254.84, 30,382.08 and 6,403.84

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Solution

The fourth proportional to 20,254.84, 30,382.08 and 6,403.84 is: 9,605.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,254.84 : 30,382.08 = 6,403.84 : x
  2. Step 2: Convert to fraction form
    20,254.84/30,382.08 = 6,403.84/x
  3. Step 3: Cross multiply
    20,254.84x = 30,382.08 × 6,403.84
  4. Step 4: Simplify right side
    20,254.84x = 194,561,979.19
  5. Step 5: Solve for x
    x = 194,561,979.19/20,254.84
  6. Step 6: Final answer
    x = 9,605.70

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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.