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Finding the Fourth Proportional to 1,990.40, 2,749.02 and 1,461.68

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Solution

The fourth proportional to 1,990.40, 2,749.02 and 1,461.68 is: 2,018.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.40 : 2,749.02 = 1,461.68 : x
  2. Step 2: Convert to fraction form
    1,990.40/2,749.02 = 1,461.68/x
  3. Step 3: Cross multiply
    1,990.40x = 2,749.02 × 1,461.68
  4. Step 4: Simplify right side
    1,990.40x = 4,018,187.55
  5. Step 5: Solve for x
    x = 4,018,187.55/1,990.40
  6. Step 6: Final answer
    x = 2,018.78

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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.