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Finding the Fourth Proportional to 5,952.76, 8,942.82 and 4,201.80

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Solution

The fourth proportional to 5,952.76, 8,942.82 and 4,201.80 is: 6,312.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.76 : 8,942.82 = 4,201.80 : x
  2. Step 2: Convert to fraction form
    5,952.76/8,942.82 = 4,201.80/x
  3. Step 3: Cross multiply
    5,952.76x = 8,942.82 × 4,201.80
  4. Step 4: Simplify right side
    5,952.76x = 37,575,941.08
  5. Step 5: Solve for x
    x = 37,575,941.08/5,952.76
  6. Step 6: Final answer
    x = 6,312.36

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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.