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Finding the Fourth Proportional to 1,703.70, 2,351.21 and 995.64

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Solution

The fourth proportional to 1,703.70, 2,351.21 and 995.64 is: 1,374.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.70 : 2,351.21 = 995.64 : x
  2. Step 2: Convert to fraction form
    1,703.70/2,351.21 = 995.64/x
  3. Step 3: Cross multiply
    1,703.70x = 2,351.21 × 995.64
  4. Step 4: Simplify right side
    1,703.70x = 2,340,953.75
  5. Step 5: Solve for x
    x = 2,340,953.75/1,703.70
  6. Step 6: Final answer
    x = 1,374.04

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1.5x scale

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.