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Finding the Fourth Proportional to 2,002.87, 2,992.64 and 1,762.30

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Solution

The fourth proportional to 2,002.87, 2,992.64 and 1,762.30 is: 2,633.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.87 : 2,992.64 = 1,762.30 : x
  2. Step 2: Convert to fraction form
    2,002.87/2,992.64 = 1,762.30/x
  3. Step 3: Cross multiply
    2,002.87x = 2,992.64 × 1,762.30
  4. Step 4: Simplify right side
    2,002.87x = 5,273,929.47
  5. Step 5: Solve for x
    x = 5,273,929.47/2,002.87
  6. Step 6: Final answer
    x = 2,633.19

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