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Finding the Fourth Proportional to 2,666.96, 4,002.22 and 935.58

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Solution

The fourth proportional to 2,666.96, 4,002.22 and 935.58 is: 1,403.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.96 : 4,002.22 = 935.58 : x
  2. Step 2: Convert to fraction form
    2,666.96/4,002.22 = 935.58/x
  3. Step 3: Cross multiply
    2,666.96x = 4,002.22 × 935.58
  4. Step 4: Simplify right side
    2,666.96x = 3,744,396.99
  5. Step 5: Solve for x
    x = 3,744,396.99/2,666.96
  6. Step 6: Final answer
    x = 1,403.99

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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.