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Finding the Fourth Proportional to 2,636.13, 3,953.07 and 991.53

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Solution

The fourth proportional to 2,636.13, 3,953.07 and 991.53 is: 1,486.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.13 : 3,953.07 = 991.53 : x
  2. Step 2: Convert to fraction form
    2,636.13/3,953.07 = 991.53/x
  3. Step 3: Cross multiply
    2,636.13x = 3,953.07 × 991.53
  4. Step 4: Simplify right side
    2,636.13x = 3,919,587.50
  5. Step 5: Solve for x
    x = 3,919,587.50/2,636.13
  6. Step 6: Final answer
    x = 1,486.87

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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.