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Finding the Fourth Proportional to 8,956.90, 13,406.57 and 4,786.48

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Solution

The fourth proportional to 8,956.90, 13,406.57 and 4,786.48 is: 7,164.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,956.90 : 13,406.57 = 4,786.48 : x
  2. Step 2: Convert to fraction form
    8,956.90/13,406.57 = 4,786.48/x
  3. Step 3: Cross multiply
    8,956.90x = 13,406.57 × 4,786.48
  4. Step 4: Simplify right side
    8,956.90x = 64,170,279.17
  5. Step 5: Solve for x
    x = 64,170,279.17/8,956.90
  6. Step 6: Final answer
    x = 7,164.34

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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.