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Finding the Fourth Proportional to 9,902.13, 13,665.96 and 6,364.67

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Solution

The fourth proportional to 9,902.13, 13,665.96 and 6,364.67 is: 8,783.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.13 : 13,665.96 = 6,364.67 : x
  2. Step 2: Convert to fraction form
    9,902.13/13,665.96 = 6,364.67/x
  3. Step 3: Cross multiply
    9,902.13x = 13,665.96 × 6,364.67
  4. Step 4: Simplify right side
    9,902.13x = 86,979,257.30
  5. Step 5: Solve for x
    x = 86,979,257.30/9,902.13
  6. Step 6: Final answer
    x = 8,783.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.