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Finding the Fourth Proportional to 2,165.43, 2,978.44 and 1,762.05

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Solution

The fourth proportional to 2,165.43, 2,978.44 and 1,762.05 is: 2,423.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.43 : 2,978.44 = 1,762.05 : x
  2. Step 2: Convert to fraction form
    2,165.43/2,978.44 = 1,762.05/x
  3. Step 3: Cross multiply
    2,165.43x = 2,978.44 × 1,762.05
  4. Step 4: Simplify right side
    2,165.43x = 5,248,160.20
  5. Step 5: Solve for x
    x = 5,248,160.20/2,165.43
  6. Step 6: Final answer
    x = 2,423.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.