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Finding the Fourth Proportional to 2,686.53, 4,029.76 and 837.67

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Solution

The fourth proportional to 2,686.53, 4,029.76 and 837.67 is: 1,256.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.53 : 4,029.76 = 837.67 : x
  2. Step 2: Convert to fraction form
    2,686.53/4,029.76 = 837.67/x
  3. Step 3: Cross multiply
    2,686.53x = 4,029.76 × 837.67
  4. Step 4: Simplify right side
    2,686.53x = 3,375,597.43
  5. Step 5: Solve for x
    x = 3,375,597.43/2,686.53
  6. Step 6: Final answer
    x = 1,256.49

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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.