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Finding the Fourth Proportional to 5,627.43, 7,756.43 and 5,156.73

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Solution

The fourth proportional to 5,627.43, 7,756.43 and 5,156.73 is: 7,107.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.43 : 7,756.43 = 5,156.73 : x
  2. Step 2: Convert to fraction form
    5,627.43/7,756.43 = 5,156.73/x
  3. Step 3: Cross multiply
    5,627.43x = 7,756.43 × 5,156.73
  4. Step 4: Simplify right side
    5,627.43x = 39,997,789.49
  5. Step 5: Solve for x
    x = 39,997,789.49/5,627.43
  6. Step 6: Final answer
    x = 7,107.65

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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.