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Finding the Fourth Proportional to 7,770.67, 11,656.09 and 6,220.53

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Solution

The fourth proportional to 7,770.67, 11,656.09 and 6,220.53 is: 9,330.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.67 : 11,656.09 = 6,220.53 : x
  2. Step 2: Convert to fraction form
    7,770.67/11,656.09 = 6,220.53/x
  3. Step 3: Cross multiply
    7,770.67x = 11,656.09 × 6,220.53
  4. Step 4: Simplify right side
    7,770.67x = 72,506,968.14
  5. Step 5: Solve for x
    x = 72,506,968.14/7,770.67
  6. Step 6: Final answer
    x = 9,330.85

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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.