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Finding the Fourth Proportional to 5,771.33, 7,959.90 and 4,178.22

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Solution

The fourth proportional to 5,771.33, 7,959.90 and 4,178.22 is: 5,762.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.33 : 7,959.90 = 4,178.22 : x
  2. Step 2: Convert to fraction form
    5,771.33/7,959.90 = 4,178.22/x
  3. Step 3: Cross multiply
    5,771.33x = 7,959.90 × 4,178.22
  4. Step 4: Simplify right side
    5,771.33x = 33,258,199.20
  5. Step 5: Solve for x
    x = 33,258,199.20/5,771.33
  6. Step 6: Final answer
    x = 5,762.66

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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.