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Finding the Fourth Proportional to 6,451.74, 9,678.21 and 1,771.80

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Solution

The fourth proportional to 6,451.74, 9,678.21 and 1,771.80 is: 2,657.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.74 : 9,678.21 = 1,771.80 : x
  2. Step 2: Convert to fraction form
    6,451.74/9,678.21 = 1,771.80/x
  3. Step 3: Cross multiply
    6,451.74x = 9,678.21 × 1,771.80
  4. Step 4: Simplify right side
    6,451.74x = 17,147,852.48
  5. Step 5: Solve for x
    x = 17,147,852.48/6,451.74
  6. Step 6: Final answer
    x = 2,657.86

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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.