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Finding the Fourth Proportional to 3,689.61, 5,536.05 and 1,934.20

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Solution

The fourth proportional to 3,689.61, 5,536.05 and 1,934.20 is: 2,902.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.61 : 5,536.05 = 1,934.20 : x
  2. Step 2: Convert to fraction form
    3,689.61/5,536.05 = 1,934.20/x
  3. Step 3: Cross multiply
    3,689.61x = 5,536.05 × 1,934.20
  4. Step 4: Simplify right side
    3,689.61x = 10,707,814.07
  5. Step 5: Solve for x
    x = 10,707,814.07/3,689.61
  6. Step 6: Final answer
    x = 2,902.15

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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.