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Finding the Fourth Proportional to 6,439.76, 9,675.78 and 4,100.76

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Solution

The fourth proportional to 6,439.76, 9,675.78 and 4,100.76 is: 6,161.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439.76 : 9,675.78 = 4,100.76 : x
  2. Step 2: Convert to fraction form
    6,439.76/9,675.78 = 4,100.76/x
  3. Step 3: Cross multiply
    6,439.76x = 9,675.78 × 4,100.76
  4. Step 4: Simplify right side
    6,439.76x = 39,678,051.59
  5. Step 5: Solve for x
    x = 39,678,051.59/6,439.76
  6. Step 6: Final answer
    x = 6,161.42

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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.