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Finding the Fourth Proportional to 4,576.55, 6,865.22 and 1,289.63

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Solution

The fourth proportional to 4,576.55, 6,865.22 and 1,289.63 is: 1,934.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.55 : 6,865.22 = 1,289.63 : x
  2. Step 2: Convert to fraction form
    4,576.55/6,865.22 = 1,289.63/x
  3. Step 3: Cross multiply
    4,576.55x = 6,865.22 × 1,289.63
  4. Step 4: Simplify right side
    4,576.55x = 8,853,614.06
  5. Step 5: Solve for x
    x = 8,853,614.06/4,576.55
  6. Step 6: Final answer
    x = 1,934.56

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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.