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Finding the Fourth Proportional to 4,087, 6,131.46 and 1,351

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Solution

The fourth proportional to 4,087, 6,131.46 and 1,351 is: 2,026.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,087 : 6,131.46 = 1,351 : x
  2. Step 2: Convert to fraction form
    4,087/6,131.46 = 1,351/x
  3. Step 3: Cross multiply
    4,087x = 6,131.46 × 1,351
  4. Step 4: Simplify right side
    4,087x = 8,283,602.46
  5. Step 5: Solve for x
    x = 8,283,602.46/4,087
  6. Step 6: Final answer
    x = 2,026.82

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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.