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Finding the Fourth Proportional to 7,551.72, 10,420.58 and 4,193.78

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Solution

The fourth proportional to 7,551.72, 10,420.58 and 4,193.78 is: 5,786.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,551.72 : 10,420.58 = 4,193.78 : x
  2. Step 2: Convert to fraction form
    7,551.72/10,420.58 = 4,193.78/x
  3. Step 3: Cross multiply
    7,551.72x = 10,420.58 × 4,193.78
  4. Step 4: Simplify right side
    7,551.72x = 43,701,578.37
  5. Step 5: Solve for x
    x = 43,701,578.37/7,551.72
  6. Step 6: Final answer
    x = 5,786.97

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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.