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Finding the Fourth Proportional to 5,478.55, 7,566.63 and 3,682.91

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Solution

The fourth proportional to 5,478.55, 7,566.63 and 3,682.91 is: 5,086.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.55 : 7,566.63 = 3,682.91 : x
  2. Step 2: Convert to fraction form
    5,478.55/7,566.63 = 3,682.91/x
  3. Step 3: Cross multiply
    5,478.55x = 7,566.63 × 3,682.91
  4. Step 4: Simplify right side
    5,478.55x = 27,867,217.29
  5. Step 5: Solve for x
    x = 27,867,217.29/5,478.55
  6. Step 6: Final answer
    x = 5,086.60

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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.