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Finding the Fourth Proportional to 2,190.76, 3,023.16 and 1,196

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Solution

The fourth proportional to 2,190.76, 3,023.16 and 1,196 is: 1,650.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.76 : 3,023.16 = 1,196 : x
  2. Step 2: Convert to fraction form
    2,190.76/3,023.16 = 1,196/x
  3. Step 3: Cross multiply
    2,190.76x = 3,023.16 × 1,196
  4. Step 4: Simplify right side
    2,190.76x = 3,615,699.36
  5. Step 5: Solve for x
    x = 3,615,699.36/2,190.76
  6. Step 6: Final answer
    x = 1,650.43

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Half scale
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Double scale
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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.