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Finding the Fourth Proportional to 5,622.57, 7,759.76 and 3,385.76

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Solution

The fourth proportional to 5,622.57, 7,759.76 and 3,385.76 is: 4,672.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,622.57 : 7,759.76 = 3,385.76 : x
  2. Step 2: Convert to fraction form
    5,622.57/7,759.76 = 3,385.76/x
  3. Step 3: Cross multiply
    5,622.57x = 7,759.76 × 3,385.76
  4. Step 4: Simplify right side
    5,622.57x = 26,272,629.29
  5. Step 5: Solve for x
    x = 26,272,629.29/5,622.57
  6. Step 6: Final answer
    x = 4,672.71

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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.