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Finding the Fourth Proportional to 3,953.50, 5,930.26 and 1,217.50

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Solution

The fourth proportional to 3,953.50, 5,930.26 and 1,217.50 is: 1,826.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.50 : 5,930.26 = 1,217.50 : x
  2. Step 2: Convert to fraction form
    3,953.50/5,930.26 = 1,217.50/x
  3. Step 3: Cross multiply
    3,953.50x = 5,930.26 × 1,217.50
  4. Step 4: Simplify right side
    3,953.50x = 7,220,091.55
  5. Step 5: Solve for x
    x = 7,220,091.55/3,953.50
  6. Step 6: Final answer
    x = 1,826.25

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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.