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Finding the Fourth Proportional to 1,781.81, 2,459.21 and 995.71

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Solution

The fourth proportional to 1,781.81, 2,459.21 and 995.71 is: 1,374.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.81 : 2,459.21 = 995.71 : x
  2. Step 2: Convert to fraction form
    1,781.81/2,459.21 = 995.71/x
  3. Step 3: Cross multiply
    1,781.81x = 2,459.21 × 995.71
  4. Step 4: Simplify right side
    1,781.81x = 2,448,648.86
  5. Step 5: Solve for x
    x = 2,448,648.86/1,781.81
  6. Step 6: Final answer
    x = 1,374.25

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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.