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Finding the Fourth Proportional to 9,771.82, 14,652.25 and 4,221.70

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Solution

The fourth proportional to 9,771.82, 14,652.25 and 4,221.70 is: 6,330.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.82 : 14,652.25 = 4,221.70 : x
  2. Step 2: Convert to fraction form
    9,771.82/14,652.25 = 4,221.70/x
  3. Step 3: Cross multiply
    9,771.82x = 14,652.25 × 4,221.70
  4. Step 4: Simplify right side
    9,771.82x = 61,857,403.83
  5. Step 5: Solve for x
    x = 61,857,403.83/9,771.82
  6. Step 6: Final answer
    x = 6,330.18

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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.