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Finding the Fourth Proportional to 2,666.67, 4,000.10 and 817.62

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Solution

The fourth proportional to 2,666.67, 4,000.10 and 817.62 is: 1,226.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.67 : 4,000.10 = 817.62 : x
  2. Step 2: Convert to fraction form
    2,666.67/4,000.10 = 817.62/x
  3. Step 3: Cross multiply
    2,666.67x = 4,000.10 × 817.62
  4. Step 4: Simplify right side
    2,666.67x = 3,270,557.67
  5. Step 5: Solve for x
    x = 3,270,557.67/2,666.67
  6. Step 6: Final answer
    x = 1,226.46

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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.