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Finding the Fourth Proportional to 7,980.71, 11,966.36 and 3,295.47

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Solution

The fourth proportional to 7,980.71, 11,966.36 and 3,295.47 is: 4,941.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.71 : 11,966.36 = 3,295.47 : x
  2. Step 2: Convert to fraction form
    7,980.71/11,966.36 = 3,295.47/x
  3. Step 3: Cross multiply
    7,980.71x = 11,966.36 × 3,295.47
  4. Step 4: Simplify right side
    7,980.71x = 39,434,704.08
  5. Step 5: Solve for x
    x = 39,434,704.08/7,980.71
  6. Step 6: Final answer
    x = 4,941.25

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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.