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Finding the Fourth Proportional to 3,689.84, 5,091.90 and 2,011.19

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Solution

The fourth proportional to 3,689.84, 5,091.90 and 2,011.19 is: 2,775.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.84 : 5,091.90 = 2,011.19 : x
  2. Step 2: Convert to fraction form
    3,689.84/5,091.90 = 2,011.19/x
  3. Step 3: Cross multiply
    3,689.84x = 5,091.90 × 2,011.19
  4. Step 4: Simplify right side
    3,689.84x = 10,240,752.90
  5. Step 5: Solve for x
    x = 10,240,752.90/3,689.84
  6. Step 6: Final answer
    x = 2,775.40

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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.