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Finding the Fourth Proportional to 8,006.10, 11,980.80 and 6,977.40

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Solution

The fourth proportional to 8,006.10, 11,980.80 and 6,977.40 is: 10,441.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.10 : 11,980.80 = 6,977.40 : x
  2. Step 2: Convert to fraction form
    8,006.10/11,980.80 = 6,977.40/x
  3. Step 3: Cross multiply
    8,006.10x = 11,980.80 × 6,977.40
  4. Step 4: Simplify right side
    8,006.10x = 83,594,833.92
  5. Step 5: Solve for x
    x = 83,594,833.92/8,006.10
  6. Step 6: Final answer
    x = 10,441.39

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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.