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Finding the Fourth Proportional to 7,817.67, 11,654.10 and 7,697.79

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Solution

The fourth proportional to 7,817.67, 11,654.10 and 7,697.79 is: 11,475.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.67 : 11,654.10 = 7,697.79 : x
  2. Step 2: Convert to fraction form
    7,817.67/11,654.10 = 7,697.79/x
  3. Step 3: Cross multiply
    7,817.67x = 11,654.10 × 7,697.79
  4. Step 4: Simplify right side
    7,817.67x = 89,710,814.44
  5. Step 5: Solve for x
    x = 89,710,814.44/7,817.67
  6. Step 6: Final answer
    x = 11,475.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.