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Finding the Fourth Proportional to 2,106.64, 3,162 and 1,011.76

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Solution

The fourth proportional to 2,106.64, 3,162 and 1,011.76 is: 1,518.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.64 : 3,162 = 1,011.76 : x
  2. Step 2: Convert to fraction form
    2,106.64/3,162 = 1,011.76/x
  3. Step 3: Cross multiply
    2,106.64x = 3,162 × 1,011.76
  4. Step 4: Simplify right side
    2,106.64x = 3,199,185.12
  5. Step 5: Solve for x
    x = 3,199,185.12/2,106.64
  6. Step 6: Final answer
    x = 1,518.62

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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.