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Finding the Fourth Proportional to 7,660.40, 11,491.30 and 2,980.76

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Solution

The fourth proportional to 7,660.40, 11,491.30 and 2,980.76 is: 4,471.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,660.40 : 11,491.30 = 2,980.76 : x
  2. Step 2: Convert to fraction form
    7,660.40/11,491.30 = 2,980.76/x
  3. Step 3: Cross multiply
    7,660.40x = 11,491.30 × 2,980.76
  4. Step 4: Simplify right side
    7,660.40x = 34,252,749.93
  5. Step 5: Solve for x
    x = 34,252,749.93/7,660.40
  6. Step 6: Final answer
    x = 4,471.41

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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.