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Finding the Fourth Proportional to 6,440.56, 9,658.79 and 2,057.00

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Solution

The fourth proportional to 6,440.56, 9,658.79 and 2,057.00 is: 3,084.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.56 : 9,658.79 = 2,057.00 : x
  2. Step 2: Convert to fraction form
    6,440.56/9,658.79 = 2,057.00/x
  3. Step 3: Cross multiply
    6,440.56x = 9,658.79 × 2,057.00
  4. Step 4: Simplify right side
    6,440.56x = 19,868,091.74
  5. Step 5: Solve for x
    x = 19,868,091.74/6,440.56
  6. Step 6: Final answer
    x = 3,084.84

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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.