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Finding the Fourth Proportional to 1,762.92, 2,434.95 and 1,322.73

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Solution

The fourth proportional to 1,762.92, 2,434.95 and 1,322.73 is: 1,826.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.92 : 2,434.95 = 1,322.73 : x
  2. Step 2: Convert to fraction form
    1,762.92/2,434.95 = 1,322.73/x
  3. Step 3: Cross multiply
    1,762.92x = 2,434.95 × 1,322.73
  4. Step 4: Simplify right side
    1,762.92x = 3,220,781.41
  5. Step 5: Solve for x
    x = 3,220,781.41/1,762.92
  6. Step 6: Final answer
    x = 1,826.96

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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.