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Finding the Fourth Proportional to 7,170.85, 9,900.54 and 5,284.56

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Solution

The fourth proportional to 7,170.85, 9,900.54 and 5,284.56 is: 7,296.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170.85 : 9,900.54 = 5,284.56 : x
  2. Step 2: Convert to fraction form
    7,170.85/9,900.54 = 5,284.56/x
  3. Step 3: Cross multiply
    7,170.85x = 9,900.54 × 5,284.56
  4. Step 4: Simplify right side
    7,170.85x = 52,319,997.66
  5. Step 5: Solve for x
    x = 52,319,997.66/7,170.85
  6. Step 6: Final answer
    x = 7,296.21

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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.