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Finding the Fourth Proportional to 7,157.70, 9,900.09 and 6,329.70

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Solution

The fourth proportional to 7,157.70, 9,900.09 and 6,329.70 is: 8,754.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.70 : 9,900.09 = 6,329.70 : x
  2. Step 2: Convert to fraction form
    7,157.70/9,900.09 = 6,329.70/x
  3. Step 3: Cross multiply
    7,157.70x = 9,900.09 × 6,329.70
  4. Step 4: Simplify right side
    7,157.70x = 62,664,599.67
  5. Step 5: Solve for x
    x = 62,664,599.67/7,157.70
  6. Step 6: Final answer
    x = 8,754.85

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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.