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Finding the Fourth Proportional to 1,971.39, 2,951.62 and 995.45

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Solution

The fourth proportional to 1,971.39, 2,951.62 and 995.45 is: 1,490.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.39 : 2,951.62 = 995.45 : x
  2. Step 2: Convert to fraction form
    1,971.39/2,951.62 = 995.45/x
  3. Step 3: Cross multiply
    1,971.39x = 2,951.62 × 995.45
  4. Step 4: Simplify right side
    1,971.39x = 2,938,178.48
  5. Step 5: Solve for x
    x = 2,938,178.48/1,971.39
  6. Step 6: Final answer
    x = 1,490.41

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1.5x scale

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.