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Finding the Fourth Proportional to 6,971.90, 9,620.79 and 6,414.62

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Solution

The fourth proportional to 6,971.90, 9,620.79 and 6,414.62 is: 8,851.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.90 : 9,620.79 = 6,414.62 : x
  2. Step 2: Convert to fraction form
    6,971.90/9,620.79 = 6,414.62/x
  3. Step 3: Cross multiply
    6,971.90x = 9,620.79 × 6,414.62
  4. Step 4: Simplify right side
    6,971.90x = 61,713,711.95
  5. Step 5: Solve for x
    x = 61,713,711.95/6,971.90
  6. Step 6: Final answer
    x = 8,851.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.