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Finding the Fourth Proportional to 2,081, 3,116.64 and 1,646.84

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Solution

The fourth proportional to 2,081, 3,116.64 and 1,646.84 is: 2,466.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081 : 3,116.64 = 1,646.84 : x
  2. Step 2: Convert to fraction form
    2,081/3,116.64 = 1,646.84/x
  3. Step 3: Cross multiply
    2,081x = 3,116.64 × 1,646.84
  4. Step 4: Simplify right side
    2,081x = 5,132,607.42
  5. Step 5: Solve for x
    x = 5,132,607.42/2,081
  6. Step 6: Final answer
    x = 2,466.41

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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.