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Finding the Fourth Proportional to 7,147.98, 9,855.02 and 4,625.64

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Solution

The fourth proportional to 7,147.98, 9,855.02 and 4,625.64 is: 6,377.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.98 : 9,855.02 = 4,625.64 : x
  2. Step 2: Convert to fraction form
    7,147.98/9,855.02 = 4,625.64/x
  3. Step 3: Cross multiply
    7,147.98x = 9,855.02 × 4,625.64
  4. Step 4: Simplify right side
    7,147.98x = 45,585,774.71
  5. Step 5: Solve for x
    x = 45,585,774.71/7,147.98
  6. Step 6: Final answer
    x = 6,377.43

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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.