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Finding the Fourth Proportional to 9,786.32, 14,654.16 and 6,820.64

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Solution

The fourth proportional to 9,786.32, 14,654.16 and 6,820.64 is: 10,213.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.32 : 14,654.16 = 6,820.64 : x
  2. Step 2: Convert to fraction form
    9,786.32/14,654.16 = 6,820.64/x
  3. Step 3: Cross multiply
    9,786.32x = 14,654.16 × 6,820.64
  4. Step 4: Simplify right side
    9,786.32x = 99,950,749.86
  5. Step 5: Solve for x
    x = 99,950,749.86/9,786.32
  6. Step 6: Final answer
    x = 10,213.31

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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.