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Finding the Fourth Proportional to 7,658.46, 11,482.89 and 5,821.50

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Solution

The fourth proportional to 7,658.46, 11,482.89 and 5,821.50 is: 8,728.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.46 : 11,482.89 = 5,821.50 : x
  2. Step 2: Convert to fraction form
    7,658.46/11,482.89 = 5,821.50/x
  3. Step 3: Cross multiply
    7,658.46x = 11,482.89 × 5,821.50
  4. Step 4: Simplify right side
    7,658.46x = 66,847,644.14
  5. Step 5: Solve for x
    x = 66,847,644.14/7,658.46
  6. Step 6: Final answer
    x = 8,728.60

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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.