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Finding the Fourth Proportional to 6,380.76, 9,570.84 and 1,700.78

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Solution

The fourth proportional to 6,380.76, 9,570.84 and 1,700.78 is: 2,551.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.76 : 9,570.84 = 1,700.78 : x
  2. Step 2: Convert to fraction form
    6,380.76/9,570.84 = 1,700.78/x
  3. Step 3: Cross multiply
    6,380.76x = 9,570.84 × 1,700.78
  4. Step 4: Simplify right side
    6,380.76x = 16,277,893.26
  5. Step 5: Solve for x
    x = 16,277,893.26/6,380.76
  6. Step 6: Final answer
    x = 2,551.09

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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.