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Finding the Fourth Proportional to 7,134.98, 10,703.48 and 2,205.05

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Solution

The fourth proportional to 7,134.98, 10,703.48 and 2,205.05 is: 3,307.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.98 : 10,703.48 = 2,205.05 : x
  2. Step 2: Convert to fraction form
    7,134.98/10,703.48 = 2,205.05/x
  3. Step 3: Cross multiply
    7,134.98x = 10,703.48 × 2,205.05
  4. Step 4: Simplify right side
    7,134.98x = 23,601,644.03
  5. Step 5: Solve for x
    x = 23,601,644.03/7,134.98
  6. Step 6: Final answer
    x = 3,307.88

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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.