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Finding the Fourth Proportional to 3,689, 5,090.84 and 2,117.08

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Solution

The fourth proportional to 3,689, 5,090.84 and 2,117.08 is: 2,921.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689 : 5,090.84 = 2,117.08 : x
  2. Step 2: Convert to fraction form
    3,689/5,090.84 = 2,117.08/x
  3. Step 3: Cross multiply
    3,689x = 5,090.84 × 2,117.08
  4. Step 4: Simplify right side
    3,689x = 10,777,715.55
  5. Step 5: Solve for x
    x = 10,777,715.55/3,689
  6. Step 6: Final answer
    x = 2,921.58

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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.