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Finding the Fourth Proportional to 7,977.28, 11,930.56 and 7,106.24

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Solution

The fourth proportional to 7,977.28, 11,930.56 and 7,106.24 is: 10,627.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977.28 : 11,930.56 = 7,106.24 : x
  2. Step 2: Convert to fraction form
    7,977.28/11,930.56 = 7,106.24/x
  3. Step 3: Cross multiply
    7,977.28x = 11,930.56 × 7,106.24
  4. Step 4: Simplify right side
    7,977.28x = 84,781,422.69
  5. Step 5: Solve for x
    x = 84,781,422.69/7,977.28
  6. Step 6: Final answer
    x = 10,627.86

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1.5x scale

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.