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Finding the Fourth Proportional to 7,106.60, 10,660.70 and 2,176.20

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Solution

The fourth proportional to 7,106.60, 10,660.70 and 2,176.20 is: 3,264.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.60 : 10,660.70 = 2,176.20 : x
  2. Step 2: Convert to fraction form
    7,106.60/10,660.70 = 2,176.20/x
  3. Step 3: Cross multiply
    7,106.60x = 10,660.70 × 2,176.20
  4. Step 4: Simplify right side
    7,106.60x = 23,199,815.34
  5. Step 5: Solve for x
    x = 23,199,815.34/7,106.60
  6. Step 6: Final answer
    x = 3,264.54

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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.