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Finding the Fourth Proportional to 7,070.55, 9,757.17 and 3,883.80

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Solution

The fourth proportional to 7,070.55, 9,757.17 and 3,883.80 is: 5,359.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.55 : 9,757.17 = 3,883.80 : x
  2. Step 2: Convert to fraction form
    7,070.55/9,757.17 = 3,883.80/x
  3. Step 3: Cross multiply
    7,070.55x = 9,757.17 × 3,883.80
  4. Step 4: Simplify right side
    7,070.55x = 37,894,896.85
  5. Step 5: Solve for x
    x = 37,894,896.85/7,070.55
  6. Step 6: Final answer
    x = 5,359.54

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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.