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Finding the Fourth Proportional to 7,770.76, 11,658.46 and 7,306.60

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Solution

The fourth proportional to 7,770.76, 11,658.46 and 7,306.60 is: 10,962.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.76 : 11,658.46 = 7,306.60 : x
  2. Step 2: Convert to fraction form
    7,770.76/11,658.46 = 7,306.60/x
  3. Step 3: Cross multiply
    7,770.76x = 11,658.46 × 7,306.60
  4. Step 4: Simplify right side
    7,770.76x = 85,183,703.84
  5. Step 5: Solve for x
    x = 85,183,703.84/7,770.76
  6. Step 6: Final answer
    x = 10,962.08

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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.