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Finding the Fourth Proportional to 20,456.69, 30,685.41 and 6,416.40

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Solution

The fourth proportional to 20,456.69, 30,685.41 and 6,416.40 is: 9,624.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,456.69 : 30,685.41 = 6,416.40 : x
  2. Step 2: Convert to fraction form
    20,456.69/30,685.41 = 6,416.40/x
  3. Step 3: Cross multiply
    20,456.69x = 30,685.41 × 6,416.40
  4. Step 4: Simplify right side
    20,456.69x = 196,889,864.72
  5. Step 5: Solve for x
    x = 196,889,864.72/20,456.69
  6. Step 6: Final answer
    x = 9,624.72

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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.