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Finding the Fourth Proportional to 1,781.56, 2,458.79 and 995.77

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Solution

The fourth proportional to 1,781.56, 2,458.79 and 995.77 is: 1,374.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.56 : 2,458.79 = 995.77 : x
  2. Step 2: Convert to fraction form
    1,781.56/2,458.79 = 995.77/x
  3. Step 3: Cross multiply
    1,781.56x = 2,458.79 × 995.77
  4. Step 4: Simplify right side
    1,781.56x = 2,448,384.34
  5. Step 5: Solve for x
    x = 2,448,384.34/1,781.56
  6. Step 6: Final answer
    x = 1,374.29

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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.