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Finding the Fourth Proportional to 6,977.34, 9,634.98 and 5,205.88

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Solution

The fourth proportional to 6,977.34, 9,634.98 and 5,205.88 is: 7,188.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.34 : 9,634.98 = 5,205.88 : x
  2. Step 2: Convert to fraction form
    6,977.34/9,634.98 = 5,205.88/x
  3. Step 3: Cross multiply
    6,977.34x = 9,634.98 × 5,205.88
  4. Step 4: Simplify right side
    6,977.34x = 50,158,549.68
  5. Step 5: Solve for x
    x = 50,158,549.68/6,977.34
  6. Step 6: Final answer
    x = 7,188.78

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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.