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Finding the Fourth Proportional to 9,920.33, 14,857.81 and 6,447.05

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Solution

The fourth proportional to 9,920.33, 14,857.81 and 6,447.05 is: 9,655.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.33 : 14,857.81 = 6,447.05 : x
  2. Step 2: Convert to fraction form
    9,920.33/14,857.81 = 6,447.05/x
  3. Step 3: Cross multiply
    9,920.33x = 14,857.81 × 6,447.05
  4. Step 4: Simplify right side
    9,920.33x = 95,789,043.96
  5. Step 5: Solve for x
    x = 95,789,043.96/9,920.33
  6. Step 6: Final answer
    x = 9,655.83

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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.