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Finding the Fourth Proportional to 2,666.40, 3,992.40 and 2,090.40

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Solution

The fourth proportional to 2,666.40, 3,992.40 and 2,090.40 is: 3,129.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.40 : 3,992.40 = 2,090.40 : x
  2. Step 2: Convert to fraction form
    2,666.40/3,992.40 = 2,090.40/x
  3. Step 3: Cross multiply
    2,666.40x = 3,992.40 × 2,090.40
  4. Step 4: Simplify right side
    2,666.40x = 8,345,712.96
  5. Step 5: Solve for x
    x = 8,345,712.96/2,666.40
  6. Step 6: Final answer
    x = 3,129.96

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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.