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Finding the Fourth Proportional to 1,721.36, 2,582.04 and 681.32

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Solution

The fourth proportional to 1,721.36, 2,582.04 and 681.32 is: 1,021.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.36 : 2,582.04 = 681.32 : x
  2. Step 2: Convert to fraction form
    1,721.36/2,582.04 = 681.32/x
  3. Step 3: Cross multiply
    1,721.36x = 2,582.04 × 681.32
  4. Step 4: Simplify right side
    1,721.36x = 1,759,182.58
  5. Step 5: Solve for x
    x = 1,759,182.58/1,721.36
  6. Step 6: Final answer
    x = 1,021.98

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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.