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Finding the Fourth Proportional to 8,956.40, 13,405.80 and 4,785.96

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Solution

The fourth proportional to 8,956.40, 13,405.80 and 4,785.96 is: 7,163.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,956.40 : 13,405.80 = 4,785.96 : x
  2. Step 2: Convert to fraction form
    8,956.40/13,405.80 = 4,785.96/x
  3. Step 3: Cross multiply
    8,956.40x = 13,405.80 × 4,785.96
  4. Step 4: Simplify right side
    8,956.40x = 64,159,622.57
  5. Step 5: Solve for x
    x = 64,159,622.57/8,956.40
  6. Step 6: Final answer
    x = 7,163.55

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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.