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Finding the Fourth Proportional to 11,970.81, 17,956.20 and 3,205.50

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Solution

The fourth proportional to 11,970.81, 17,956.20 and 3,205.50 is: 4,808.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.81 : 17,956.20 = 3,205.50 : x
  2. Step 2: Convert to fraction form
    11,970.81/17,956.20 = 3,205.50/x
  3. Step 3: Cross multiply
    11,970.81x = 17,956.20 × 3,205.50
  4. Step 4: Simplify right side
    11,970.81x = 57,558,509.32
  5. Step 5: Solve for x
    x = 57,558,509.32/11,970.81
  6. Step 6: Final answer
    x = 4,808.24

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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.