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Finding the Fourth Proportional to 9,709.96, 13,406.16 and 8,660.20

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Solution

The fourth proportional to 9,709.96, 13,406.16 and 8,660.20 is: 11,956.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.96 : 13,406.16 = 8,660.20 : x
  2. Step 2: Convert to fraction form
    9,709.96/13,406.16 = 8,660.20/x
  3. Step 3: Cross multiply
    9,709.96x = 13,406.16 × 8,660.20
  4. Step 4: Simplify right side
    9,709.96x = 116,100,026.83
  5. Step 5: Solve for x
    x = 116,100,026.83/9,709.96
  6. Step 6: Final answer
    x = 11,956.80

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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.