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Finding the Fourth Proportional to 1,746.25, 2,619.77 and 821.82

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Solution

The fourth proportional to 1,746.25, 2,619.77 and 821.82 is: 1,232.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.25 : 2,619.77 = 821.82 : x
  2. Step 2: Convert to fraction form
    1,746.25/2,619.77 = 821.82/x
  3. Step 3: Cross multiply
    1,746.25x = 2,619.77 × 821.82
  4. Step 4: Simplify right side
    1,746.25x = 2,152,979.38
  5. Step 5: Solve for x
    x = 2,152,979.38/1,746.25
  6. Step 6: Final answer
    x = 1,232.92

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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.